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Finding the Third Proportional to 61,332 and 91,350

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Solution

The third proportional to 61,332 and 91,350 is: 136,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,332 : 91,350 = 91,350 : x
  2. Step 2: Convert to fraction form
    61,332/91,350 = 91,350/x
  3. Step 3: Cross multiply
    61,332x = 91,350 × 91,350
  4. Step 4: Simplify right side
    61,332x = 8,344,822,500
  5. Step 5: Solve for x
    x = 8,344,822,500/61,332
  6. Step 6: Final answer
    x = 136,059.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.