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Finding the Third Proportional to 109,932.75 and 168,454.13

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Solution

The third proportional to 109,932.75 and 168,454.13 is: 258,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,932.75 : 168,454.13 = 168,454.13 : x
  2. Step 2: Convert to fraction form
    109,932.75/168,454.13 = 168,454.13/x
  3. Step 3: Cross multiply
    109,932.75x = 168,454.13 × 168,454.13
  4. Step 4: Simplify right side
    109,932.75x = 28,376,792,229.52
  5. Step 5: Solve for x
    x = 28,376,792,229.52/109,932.75
  6. Step 6: Final answer
    x = 258,128.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.