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Finding the Third Proportional to 60,898.13 and 132,862.69

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Solution

The third proportional to 60,898.13 and 132,862.69 is: 289,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,898.13 : 132,862.69 = 132,862.69 : x
  2. Step 2: Convert to fraction form
    60,898.13/132,862.69 = 132,862.69/x
  3. Step 3: Cross multiply
    60,898.13x = 132,862.69 × 132,862.69
  4. Step 4: Simplify right side
    60,898.13x = 17,652,493,729.72
  5. Step 5: Solve for x
    x = 17,652,493,729.72/60,898.13
  6. Step 6: Final answer
    x = 289,869.25

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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.