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Finding the Third Proportional to 52,581.38 and 81,572.63

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Solution

The third proportional to 52,581.38 and 81,572.63 is: 126,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581.38 : 81,572.63 = 81,572.63 : x
  2. Step 2: Convert to fraction form
    52,581.38/81,572.63 = 81,572.63/x
  3. Step 3: Cross multiply
    52,581.38x = 81,572.63 × 81,572.63
  4. Step 4: Simplify right side
    52,581.38x = 6,654,093,149.39
  5. Step 5: Solve for x
    x = 6,654,093,149.39/52,581.38
  6. Step 6: Final answer
    x = 126,548.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.