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Finding the Third Proportional to 109,744.88 and 160,425.56

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Solution

The third proportional to 109,744.88 and 160,425.56 is: 234,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,744.88 : 160,425.56 = 160,425.56 : x
  2. Step 2: Convert to fraction form
    109,744.88/160,425.56 = 160,425.56/x
  3. Step 3: Cross multiply
    109,744.88x = 160,425.56 × 160,425.56
  4. Step 4: Simplify right side
    109,744.88x = 25,736,361,103.44
  5. Step 5: Solve for x
    x = 25,736,361,103.44/109,744.88
  6. Step 6: Final answer
    x = 234,510.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.