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Finding the Third Proportional to 60,961 and 91,442

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Solution

The third proportional to 60,961 and 91,442 is: 137,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,961 : 91,442 = 91,442 : x
  2. Step 2: Convert to fraction form
    60,961/91,442 = 91,442/x
  3. Step 3: Cross multiply
    60,961x = 91,442 × 91,442
  4. Step 4: Simplify right side
    60,961x = 8,361,639,364
  5. Step 5: Solve for x
    x = 8,361,639,364/60,961
  6. Step 6: Final answer
    x = 137,163.75

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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.