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Finding the Third Proportional to 63,382.50 and 132,869.25

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Solution

The third proportional to 63,382.50 and 132,869.25 is: 278,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,382.50 : 132,869.25 = 132,869.25 : x
  2. Step 2: Convert to fraction form
    63,382.50/132,869.25 = 132,869.25/x
  3. Step 3: Cross multiply
    63,382.50x = 132,869.25 × 132,869.25
  4. Step 4: Simplify right side
    63,382.50x = 17,654,237,595.56
  5. Step 5: Solve for x
    x = 17,654,237,595.56/63,382.50
  6. Step 6: Final answer
    x = 278,534.89

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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.