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Finding the Third Proportional to 119,792.25 and 179,691.75

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Solution

The third proportional to 119,792.25 and 179,691.75 is: 269,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,792.25 : 179,691.75 = 179,691.75 : x
  2. Step 2: Convert to fraction form
    119,792.25/179,691.75 = 179,691.75/x
  3. Step 3: Cross multiply
    119,792.25x = 179,691.75 × 179,691.75
  4. Step 4: Simplify right side
    119,792.25x = 32,289,125,018.06
  5. Step 5: Solve for x
    x = 32,289,125,018.06/119,792.25
  6. Step 6: Final answer
    x = 269,542.69

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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.