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Finding the Third Proportional to 65,701.13 and 102,642.19

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Solution

The third proportional to 65,701.13 and 102,642.19 is: 160,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 102,642.19 = 102,642.19 : x
  2. Step 2: Convert to fraction form
    65,701.13/102,642.19 = 102,642.19/x
  3. Step 3: Cross multiply
    65,701.13x = 102,642.19 × 102,642.19
  4. Step 4: Simplify right side
    65,701.13x = 10,535,418,654.79
  5. Step 5: Solve for x
    x = 10,535,418,654.79/65,701.13
  6. Step 6: Final answer
    x = 160,353.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.