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Finding the Third Proportional to 59,997.38 and 138,898.13

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Solution

The third proportional to 59,997.38 and 138,898.13 is: 321,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,997.38 : 138,898.13 = 138,898.13 : x
  2. Step 2: Convert to fraction form
    59,997.38/138,898.13 = 138,898.13/x
  3. Step 3: Cross multiply
    59,997.38x = 138,898.13 × 138,898.13
  4. Step 4: Simplify right side
    59,997.38x = 19,292,689,128.52
  5. Step 5: Solve for x
    x = 19,292,689,128.52/59,997.38
  6. Step 6: Final answer
    x = 321,558.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.