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Finding the Third Proportional to 73,344 and 127,872

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Solution

The third proportional to 73,344 and 127,872 is: 222,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,344 : 127,872 = 127,872 : x
  2. Step 2: Convert to fraction form
    73,344/127,872 = 127,872/x
  3. Step 3: Cross multiply
    73,344x = 127,872 × 127,872
  4. Step 4: Simplify right side
    73,344x = 16,351,248,384
  5. Step 5: Solve for x
    x = 16,351,248,384/73,344
  6. Step 6: Final answer
    x = 222,939.14

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.