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Finding the Third Proportional to 106,932.66 and 160,078.78

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Solution

The third proportional to 106,932.66 and 160,078.78 is: 239,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,932.66 : 160,078.78 = 160,078.78 : x
  2. Step 2: Convert to fraction form
    106,932.66/160,078.78 = 160,078.78/x
  3. Step 3: Cross multiply
    106,932.66x = 160,078.78 × 160,078.78
  4. Step 4: Simplify right side
    106,932.66x = 25,625,216,206.49
  5. Step 5: Solve for x
    x = 25,625,216,206.49/106,932.66
  6. Step 6: Final answer
    x = 239,638.83

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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.