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Finding the Third Proportional to 64,201.36 and 137,306.39

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Solution

The third proportional to 64,201.36 and 137,306.39 is: 293,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,201.36 : 137,306.39 = 137,306.39 : x
  2. Step 2: Convert to fraction form
    64,201.36/137,306.39 = 137,306.39/x
  3. Step 3: Cross multiply
    64,201.36x = 137,306.39 × 137,306.39
  4. Step 4: Simplify right side
    64,201.36x = 18,853,044,906.47
  5. Step 5: Solve for x
    x = 18,853,044,906.47/64,201.36
  6. Step 6: Final answer
    x = 293,654.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.