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Finding the Third Proportional to 129,874 and 175,995

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Solution

The third proportional to 129,874 and 175,995 is: 238,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,874 : 175,995 = 175,995 : x
  2. Step 2: Convert to fraction form
    129,874/175,995 = 175,995/x
  3. Step 3: Cross multiply
    129,874x = 175,995 × 175,995
  4. Step 4: Simplify right side
    129,874x = 30,974,240,025
  5. Step 5: Solve for x
    x = 30,974,240,025/129,874
  6. Step 6: Final answer
    x = 238,494.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.