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Finding the Third Proportional to 61,659.38 and 92,497.31

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Solution

The third proportional to 61,659.38 and 92,497.31 is: 138,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,659.38 : 92,497.31 = 92,497.31 : x
  2. Step 2: Convert to fraction form
    61,659.38/92,497.31 = 92,497.31/x
  3. Step 3: Cross multiply
    61,659.38x = 92,497.31 × 92,497.31
  4. Step 4: Simplify right side
    61,659.38x = 8,555,752,819.72
  5. Step 5: Solve for x
    x = 8,555,752,819.72/61,659.38
  6. Step 6: Final answer
    x = 138,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.