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Finding the Third Proportional to 63,195 and 138,267

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Solution

The third proportional to 63,195 and 138,267 is: 302,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,195 : 138,267 = 138,267 : x
  2. Step 2: Convert to fraction form
    63,195/138,267 = 138,267/x
  3. Step 3: Cross multiply
    63,195x = 138,267 × 138,267
  4. Step 4: Simplify right side
    63,195x = 19,117,763,289
  5. Step 5: Solve for x
    x = 19,117,763,289/63,195
  6. Step 6: Final answer
    x = 302,520.19

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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.