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Finding the Third Proportional to 125,327 and 272,740

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Solution

The third proportional to 125,327 and 272,740 is: 593,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,327 : 272,740 = 272,740 : x
  2. Step 2: Convert to fraction form
    125,327/272,740 = 272,740/x
  3. Step 3: Cross multiply
    125,327x = 272,740 × 272,740
  4. Step 4: Simplify right side
    125,327x = 74,387,107,600
  5. Step 5: Solve for x
    x = 74,387,107,600/125,327
  6. Step 6: Final answer
    x = 593,544.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.