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Finding the Third Proportional to 107,947.69 and 161,934.19

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Solution

The third proportional to 107,947.69 and 161,934.19 is: 242,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947.69 : 161,934.19 = 161,934.19 : x
  2. Step 2: Convert to fraction form
    107,947.69/161,934.19 = 161,934.19/x
  3. Step 3: Cross multiply
    107,947.69x = 161,934.19 × 161,934.19
  4. Step 4: Simplify right side
    107,947.69x = 26,222,681,081.29
  5. Step 5: Solve for x
    x = 26,222,681,081.29/107,947.69
  6. Step 6: Final answer
    x = 242,920.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.