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Finding the Third Proportional to 60,228 and 89,469

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Solution

The third proportional to 60,228 and 89,469 is: 132,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,228 : 89,469 = 89,469 : x
  2. Step 2: Convert to fraction form
    60,228/89,469 = 89,469/x
  3. Step 3: Cross multiply
    60,228x = 89,469 × 89,469
  4. Step 4: Simplify right side
    60,228x = 8,004,701,961
  5. Step 5: Solve for x
    x = 8,004,701,961/60,228
  6. Step 6: Final answer
    x = 132,906.65

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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.