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Finding the Third Proportional to 60,561 and 92,961

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Solution

The third proportional to 60,561 and 92,961 is: 142,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,561 : 92,961 = 92,961 : x
  2. Step 2: Convert to fraction form
    60,561/92,961 = 92,961/x
  3. Step 3: Cross multiply
    60,561x = 92,961 × 92,961
  4. Step 4: Simplify right side
    60,561x = 8,641,747,521
  5. Step 5: Solve for x
    x = 8,641,747,521/60,561
  6. Step 6: Final answer
    x = 142,694.93

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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.