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Finding the Third Proportional to 123,932 and 271,624

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Solution

The third proportional to 123,932 and 271,624 is: 595,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,932 : 271,624 = 271,624 : x
  2. Step 2: Convert to fraction form
    123,932/271,624 = 271,624/x
  3. Step 3: Cross multiply
    123,932x = 271,624 × 271,624
  4. Step 4: Simplify right side
    123,932x = 73,779,597,376
  5. Step 5: Solve for x
    x = 73,779,597,376/123,932
  6. Step 6: Final answer
    x = 595,323.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.