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Finding the Third Proportional to 60,128 and 89,676

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Solution

The third proportional to 60,128 and 89,676 is: 133,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,128 : 89,676 = 89,676 : x
  2. Step 2: Convert to fraction form
    60,128/89,676 = 89,676/x
  3. Step 3: Cross multiply
    60,128x = 89,676 × 89,676
  4. Step 4: Simplify right side
    60,128x = 8,041,784,976
  5. Step 5: Solve for x
    x = 8,041,784,976/60,128
  6. Step 6: Final answer
    x = 133,744.43

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