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Finding the Third Proportional to 75,344.25 and 102,327

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Solution

The third proportional to 75,344.25 and 102,327 is: 138,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344.25 : 102,327 = 102,327 : x
  2. Step 2: Convert to fraction form
    75,344.25/102,327 = 102,327/x
  3. Step 3: Cross multiply
    75,344.25x = 102,327 × 102,327
  4. Step 4: Simplify right side
    75,344.25x = 10,470,814,929
  5. Step 5: Solve for x
    x = 10,470,814,929/75,344.25
  6. Step 6: Final answer
    x = 138,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.