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Finding the Third Proportional to 63,166 and 135,890

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Solution

The third proportional to 63,166 and 135,890 is: 292,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,166 : 135,890 = 135,890 : x
  2. Step 2: Convert to fraction form
    63,166/135,890 = 135,890/x
  3. Step 3: Cross multiply
    63,166x = 135,890 × 135,890
  4. Step 4: Simplify right side
    63,166x = 18,466,092,100
  5. Step 5: Solve for x
    x = 18,466,092,100/63,166
  6. Step 6: Final answer
    x = 292,342.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.