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Finding the Third Proportional to 64,713.38 and 132,562.69

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Solution

The third proportional to 64,713.38 and 132,562.69 is: 271,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713.38 : 132,562.69 = 132,562.69 : x
  2. Step 2: Convert to fraction form
    64,713.38/132,562.69 = 132,562.69/x
  3. Step 3: Cross multiply
    64,713.38x = 132,562.69 × 132,562.69
  4. Step 4: Simplify right side
    64,713.38x = 17,572,866,117.22
  5. Step 5: Solve for x
    x = 17,572,866,117.22/64,713.38
  6. Step 6: Final answer
    x = 271,549.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.