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Finding the Third Proportional to 124,941 and 182,727

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Solution

The third proportional to 124,941 and 182,727 is: 267,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,941 : 182,727 = 182,727 : x
  2. Step 2: Convert to fraction form
    124,941/182,727 = 182,727/x
  3. Step 3: Cross multiply
    124,941x = 182,727 × 182,727
  4. Step 4: Simplify right side
    124,941x = 33,389,156,529
  5. Step 5: Solve for x
    x = 33,389,156,529/124,941
  6. Step 6: Final answer
    x = 267,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.