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Finding the Third Proportional to 80,284.13 and 112,957.88

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Solution

The third proportional to 80,284.13 and 112,957.88 is: 158,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,284.13 : 112,957.88 = 112,957.88 : x
  2. Step 2: Convert to fraction form
    80,284.13/112,957.88 = 112,957.88/x
  3. Step 3: Cross multiply
    80,284.13x = 112,957.88 × 112,957.88
  4. Step 4: Simplify right side
    80,284.13x = 12,759,481,524.52
  5. Step 5: Solve for x
    x = 12,759,481,524.52/80,284.13
  6. Step 6: Final answer
    x = 158,929.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.