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Finding the Third Proportional to 124,429.92 and 187,664.34

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Solution

The third proportional to 124,429.92 and 187,664.34 is: 283,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,429.92 : 187,664.34 = 187,664.34 : x
  2. Step 2: Convert to fraction form
    124,429.92/187,664.34 = 187,664.34/x
  3. Step 3: Cross multiply
    124,429.92x = 187,664.34 × 187,664.34
  4. Step 4: Simplify right side
    124,429.92x = 35,217,905,915.12
  5. Step 5: Solve for x
    x = 35,217,905,915.12/124,429.92
  6. Step 6: Final answer
    x = 283,034.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.