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Finding the Third Proportional to 125,676 and 175,800

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Solution

The third proportional to 125,676 and 175,800 is: 245,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,676 : 175,800 = 175,800 : x
  2. Step 2: Convert to fraction form
    125,676/175,800 = 175,800/x
  3. Step 3: Cross multiply
    125,676x = 175,800 × 175,800
  4. Step 4: Simplify right side
    125,676x = 30,905,640,000
  5. Step 5: Solve for x
    x = 30,905,640,000/125,676
  6. Step 6: Final answer
    x = 245,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.