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Finding the Third Proportional to 112,909.50 and 169,373.25

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Solution

The third proportional to 112,909.50 and 169,373.25 is: 254,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,909.50 : 169,373.25 = 169,373.25 : x
  2. Step 2: Convert to fraction form
    112,909.50/169,373.25 = 169,373.25/x
  3. Step 3: Cross multiply
    112,909.50x = 169,373.25 × 169,373.25
  4. Step 4: Simplify right side
    112,909.50x = 28,687,297,815.56
  5. Step 5: Solve for x
    x = 28,687,297,815.56/112,909.50
  6. Step 6: Final answer
    x = 254,073.38

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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.