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Finding the Third Proportional to 114,876 and 171,624

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Solution

The third proportional to 114,876 and 171,624 is: 256,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,876 : 171,624 = 171,624 : x
  2. Step 2: Convert to fraction form
    114,876/171,624 = 171,624/x
  3. Step 3: Cross multiply
    114,876x = 171,624 × 171,624
  4. Step 4: Simplify right side
    114,876x = 29,454,797,376
  5. Step 5: Solve for x
    x = 29,454,797,376/114,876
  6. Step 6: Final answer
    x = 256,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.