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Finding the Third Proportional to 62,308.13 and 137,071.31

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Solution

The third proportional to 62,308.13 and 137,071.31 is: 301,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308.13 : 137,071.31 = 137,071.31 : x
  2. Step 2: Convert to fraction form
    62,308.13/137,071.31 = 137,071.31/x
  3. Step 3: Cross multiply
    62,308.13x = 137,071.31 × 137,071.31
  4. Step 4: Simplify right side
    62,308.13x = 18,788,544,710.47
  5. Step 5: Solve for x
    x = 18,788,544,710.47/62,308.13
  6. Step 6: Final answer
    x = 301,542.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.