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Finding the Third Proportional to 60,414.38 and 132,448.50

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Solution

The third proportional to 60,414.38 and 132,448.50 is: 290,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.38 : 132,448.50 = 132,448.50 : x
  2. Step 2: Convert to fraction form
    60,414.38/132,448.50 = 132,448.50/x
  3. Step 3: Cross multiply
    60,414.38x = 132,448.50 × 132,448.50
  4. Step 4: Simplify right side
    60,414.38x = 17,542,605,152.25
  5. Step 5: Solve for x
    x = 17,542,605,152.25/60,414.38
  6. Step 6: Final answer
    x = 290,371.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.