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Finding the Third Proportional to 125,715 and 274,758

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Solution

The third proportional to 125,715 and 274,758 is: 600,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,715 : 274,758 = 274,758 : x
  2. Step 2: Convert to fraction form
    125,715/274,758 = 274,758/x
  3. Step 3: Cross multiply
    125,715x = 274,758 × 274,758
  4. Step 4: Simplify right side
    125,715x = 75,491,958,564
  5. Step 5: Solve for x
    x = 75,491,958,564/125,715
  6. Step 6: Final answer
    x = 600,500.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.