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Finding the Third Proportional to 124,704 and 269,376

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Solution

The third proportional to 124,704 and 269,376 is: 581,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,704 : 269,376 = 269,376 : x
  2. Step 2: Convert to fraction form
    124,704/269,376 = 269,376/x
  3. Step 3: Cross multiply
    124,704x = 269,376 × 269,376
  4. Step 4: Simplify right side
    124,704x = 72,563,429,376
  5. Step 5: Solve for x
    x = 72,563,429,376/124,704
  6. Step 6: Final answer
    x = 581,885.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.