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Finding the Third Proportional to 60,351 and 91,500

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Solution

The third proportional to 60,351 and 91,500 is: 138,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,351 : 91,500 = 91,500 : x
  2. Step 2: Convert to fraction form
    60,351/91,500 = 91,500/x
  3. Step 3: Cross multiply
    60,351x = 91,500 × 91,500
  4. Step 4: Simplify right side
    60,351x = 8,372,250,000
  5. Step 5: Solve for x
    x = 8,372,250,000/60,351
  6. Step 6: Final answer
    x = 138,725.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.