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Finding the Third Proportional to 63,384 and 132,872.25

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Solution

The third proportional to 63,384 and 132,872.25 is: 278,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,384 : 132,872.25 = 132,872.25 : x
  2. Step 2: Convert to fraction form
    63,384/132,872.25 = 132,872.25/x
  3. Step 3: Cross multiply
    63,384x = 132,872.25 × 132,872.25
  4. Step 4: Simplify right side
    63,384x = 17,655,034,820.06
  5. Step 5: Solve for x
    x = 17,655,034,820.06/63,384
  6. Step 6: Final answer
    x = 278,540.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.