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Finding the Third Proportional to 40,129 and 61,262

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Solution

The third proportional to 40,129 and 61,262 is: 93,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,129 : 61,262 = 61,262 : x
  2. Step 2: Convert to fraction form
    40,129/61,262 = 61,262/x
  3. Step 3: Cross multiply
    40,129x = 61,262 × 61,262
  4. Step 4: Simplify right side
    40,129x = 3,753,032,644
  5. Step 5: Solve for x
    x = 3,753,032,644/40,129
  6. Step 6: Final answer
    x = 93,524.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.