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Finding the Third Proportional to 116,707.13 and 165,151.50

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Solution

The third proportional to 116,707.13 and 165,151.50 is: 233,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,707.13 : 165,151.50 = 165,151.50 : x
  2. Step 2: Convert to fraction form
    116,707.13/165,151.50 = 165,151.50/x
  3. Step 3: Cross multiply
    116,707.13x = 165,151.50 × 165,151.50
  4. Step 4: Simplify right side
    116,707.13x = 27,275,017,952.25
  5. Step 5: Solve for x
    x = 27,275,017,952.25/116,707.13
  6. Step 6: Final answer
    x = 233,704.82

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Why These Related Problems?

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