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Finding the Third Proportional to 125,524 and 275,927

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Solution

The third proportional to 125,524 and 275,927 is: 606,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,524 : 275,927 = 275,927 : x
  2. Step 2: Convert to fraction form
    125,524/275,927 = 275,927/x
  3. Step 3: Cross multiply
    125,524x = 275,927 × 275,927
  4. Step 4: Simplify right side
    125,524x = 76,135,709,329
  5. Step 5: Solve for x
    x = 76,135,709,329/125,524
  6. Step 6: Final answer
    x = 606,543.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.