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Finding the Third Proportional to 63,180 and 136,201

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Solution

The third proportional to 63,180 and 136,201 is: 293,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,180 : 136,201 = 136,201 : x
  2. Step 2: Convert to fraction form
    63,180/136,201 = 136,201/x
  3. Step 3: Cross multiply
    63,180x = 136,201 × 136,201
  4. Step 4: Simplify right side
    63,180x = 18,550,712,401
  5. Step 5: Solve for x
    x = 18,550,712,401/63,180
  6. Step 6: Final answer
    x = 293,616.85

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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.