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Finding the Third Proportional to 60,898 and 132,834

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Solution

The third proportional to 60,898 and 132,834 is: 289,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,898 : 132,834 = 132,834 : x
  2. Step 2: Convert to fraction form
    60,898/132,834 = 132,834/x
  3. Step 3: Cross multiply
    60,898x = 132,834 × 132,834
  4. Step 4: Simplify right side
    60,898x = 17,644,871,556
  5. Step 5: Solve for x
    x = 17,644,871,556/60,898
  6. Step 6: Final answer
    x = 289,744.68

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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.