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Finding the Third Proportional to 52,741.13 and 81,177.19

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Solution

The third proportional to 52,741.13 and 81,177.19 is: 124,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741.13 : 81,177.19 = 81,177.19 : x
  2. Step 2: Convert to fraction form
    52,741.13/81,177.19 = 81,177.19/x
  3. Step 3: Cross multiply
    52,741.13x = 81,177.19 × 81,177.19
  4. Step 4: Simplify right side
    52,741.13x = 6,589,735,770.41
  5. Step 5: Solve for x
    x = 6,589,735,770.41/52,741.13
  6. Step 6: Final answer
    x = 124,944.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.