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Finding the Third Proportional to 125,195 and 270,050

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Solution

The third proportional to 125,195 and 270,050 is: 582,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,195 : 270,050 = 270,050 : x
  2. Step 2: Convert to fraction form
    125,195/270,050 = 270,050/x
  3. Step 3: Cross multiply
    125,195x = 270,050 × 270,050
  4. Step 4: Simplify right side
    125,195x = 72,927,002,500
  5. Step 5: Solve for x
    x = 72,927,002,500/125,195
  6. Step 6: Final answer
    x = 582,507.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.