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Finding the Third Proportional to 125,734 and 167,861

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Solution

The third proportional to 125,734 and 167,861 is: 224,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,734 : 167,861 = 167,861 : x
  2. Step 2: Convert to fraction form
    125,734/167,861 = 167,861/x
  3. Step 3: Cross multiply
    125,734x = 167,861 × 167,861
  4. Step 4: Simplify right side
    125,734x = 28,177,315,321
  5. Step 5: Solve for x
    x = 28,177,315,321/125,734
  6. Step 6: Final answer
    x = 224,102.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.