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Finding the Third Proportional to 124,315.31 and 191,192.34

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Solution

The third proportional to 124,315.31 and 191,192.34 is: 294,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,315.31 : 191,192.34 = 191,192.34 : x
  2. Step 2: Convert to fraction form
    124,315.31/191,192.34 = 191,192.34/x
  3. Step 3: Cross multiply
    124,315.31x = 191,192.34 × 191,192.34
  4. Step 4: Simplify right side
    124,315.31x = 36,554,512,308.62
  5. Step 5: Solve for x
    x = 36,554,512,308.62/124,315.31
  6. Step 6: Final answer
    x = 294,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.