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Finding the Third Proportional to 62,308.13 and 137,071.38

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Solution

The third proportional to 62,308.13 and 137,071.38 is: 301,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308.13 : 137,071.38 = 137,071.38 : x
  2. Step 2: Convert to fraction form
    62,308.13/137,071.38 = 137,071.38/x
  3. Step 3: Cross multiply
    62,308.13x = 137,071.38 × 137,071.38
  4. Step 4: Simplify right side
    62,308.13x = 18,788,561,844.39
  5. Step 5: Solve for x
    x = 18,788,561,844.39/62,308.13
  6. Step 6: Final answer
    x = 301,542.73

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Why These Related Problems?

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