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Finding the Third Proportional to 107,940 and 160,802

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Solution

The third proportional to 107,940 and 160,802 is: 239,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940 : 160,802 = 160,802 : x
  2. Step 2: Convert to fraction form
    107,940/160,802 = 160,802/x
  3. Step 3: Cross multiply
    107,940x = 160,802 × 160,802
  4. Step 4: Simplify right side
    107,940x = 25,857,283,204
  5. Step 5: Solve for x
    x = 25,857,283,204/107,940
  6. Step 6: Final answer
    x = 239,552.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.