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Finding the Third Proportional to 60,905 and 132,849

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Solution

The third proportional to 60,905 and 132,849 is: 289,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,905 : 132,849 = 132,849 : x
  2. Step 2: Convert to fraction form
    60,905/132,849 = 132,849/x
  3. Step 3: Cross multiply
    60,905x = 132,849 × 132,849
  4. Step 4: Simplify right side
    60,905x = 17,648,856,801
  5. Step 5: Solve for x
    x = 17,648,856,801/60,905
  6. Step 6: Final answer
    x = 289,776.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.