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Finding the Third Proportional to 63,061 and 135,416

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Solution

The third proportional to 63,061 and 135,416 is: 290,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,061 : 135,416 = 135,416 : x
  2. Step 2: Convert to fraction form
    63,061/135,416 = 135,416/x
  3. Step 3: Cross multiply
    63,061x = 135,416 × 135,416
  4. Step 4: Simplify right side
    63,061x = 18,337,493,056
  5. Step 5: Solve for x
    x = 18,337,493,056/63,061
  6. Step 6: Final answer
    x = 290,789.76

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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.