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Finding the Third Proportional to 60,676 and 91,862

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Solution

The third proportional to 60,676 and 91,862 is: 139,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,676 : 91,862 = 91,862 : x
  2. Step 2: Convert to fraction form
    60,676/91,862 = 91,862/x
  3. Step 3: Cross multiply
    60,676x = 91,862 × 91,862
  4. Step 4: Simplify right side
    60,676x = 8,438,627,044
  5. Step 5: Solve for x
    x = 8,438,627,044/60,676
  6. Step 6: Final answer
    x = 139,076.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.