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Finding the Third Proportional to 124,370.44 and 186,343.03

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Solution

The third proportional to 124,370.44 and 186,343.03 is: 279,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,370.44 : 186,343.03 = 186,343.03 : x
  2. Step 2: Convert to fraction form
    124,370.44/186,343.03 = 186,343.03/x
  3. Step 3: Cross multiply
    124,370.44x = 186,343.03 × 186,343.03
  4. Step 4: Simplify right side
    124,370.44x = 34,723,725,295.44
  5. Step 5: Solve for x
    x = 34,723,725,295.44/124,370.44
  6. Step 6: Final answer
    x = 279,195.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.