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Finding the Third Proportional to 62,938.69 and 137,836.69

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Solution

The third proportional to 62,938.69 and 137,836.69 is: 301,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,938.69 : 137,836.69 = 137,836.69 : x
  2. Step 2: Convert to fraction form
    62,938.69/137,836.69 = 137,836.69/x
  3. Step 3: Cross multiply
    62,938.69x = 137,836.69 × 137,836.69
  4. Step 4: Simplify right side
    62,938.69x = 18,998,952,420.97
  5. Step 5: Solve for x
    x = 18,998,952,420.97/62,938.69
  6. Step 6: Final answer
    x = 301,864.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.