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Finding the Third Proportional to 63,166 and 135,084

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Solution

The third proportional to 63,166 and 135,084 is: 288,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,166 : 135,084 = 135,084 : x
  2. Step 2: Convert to fraction form
    63,166/135,084 = 135,084/x
  3. Step 3: Cross multiply
    63,166x = 135,084 × 135,084
  4. Step 4: Simplify right side
    63,166x = 18,247,687,056
  5. Step 5: Solve for x
    x = 18,247,687,056/63,166
  6. Step 6: Final answer
    x = 288,884.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.