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Finding the Third Proportional to 62,344.69 and 135,123.19

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Solution

The third proportional to 62,344.69 and 135,123.19 is: 292,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,344.69 : 135,123.19 = 135,123.19 : x
  2. Step 2: Convert to fraction form
    62,344.69/135,123.19 = 135,123.19/x
  3. Step 3: Cross multiply
    62,344.69x = 135,123.19 × 135,123.19
  4. Step 4: Simplify right side
    62,344.69x = 18,258,275,800.16
  5. Step 5: Solve for x
    x = 18,258,275,800.16/62,344.69
  6. Step 6: Final answer
    x = 292,860.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.