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Finding the Third Proportional to 63,195 and 95,049

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Solution

The third proportional to 63,195 and 95,049 is: 142,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,195 : 95,049 = 95,049 : x
  2. Step 2: Convert to fraction form
    63,195/95,049 = 95,049/x
  3. Step 3: Cross multiply
    63,195x = 95,049 × 95,049
  4. Step 4: Simplify right side
    63,195x = 9,034,312,401
  5. Step 5: Solve for x
    x = 9,034,312,401/63,195
  6. Step 6: Final answer
    x = 142,959.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.