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Finding the Third Proportional to 75,279.66 and 110,839.71

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Solution

The third proportional to 75,279.66 and 110,839.71 is: 163,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,279.66 : 110,839.71 = 110,839.71 : x
  2. Step 2: Convert to fraction form
    75,279.66/110,839.71 = 110,839.71/x
  3. Step 3: Cross multiply
    75,279.66x = 110,839.71 × 110,839.71
  4. Step 4: Simplify right side
    75,279.66x = 12,285,441,520.71
  5. Step 5: Solve for x
    x = 12,285,441,520.71/75,279.66
  6. Step 6: Final answer
    x = 163,197.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.