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Finding the Third Proportional to 116,617.50 and 165,151.69

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Solution

The third proportional to 116,617.50 and 165,151.69 is: 233,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617.50 : 165,151.69 = 165,151.69 : x
  2. Step 2: Convert to fraction form
    116,617.50/165,151.69 = 165,151.69/x
  3. Step 3: Cross multiply
    116,617.50x = 165,151.69 × 165,151.69
  4. Step 4: Simplify right side
    116,617.50x = 27,275,079,884.10
  5. Step 5: Solve for x
    x = 27,275,079,884.10/116,617.50
  6. Step 6: Final answer
    x = 233,884.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.