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Finding the Third Proportional to 56,042 and 121,876

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Solution

The third proportional to 56,042 and 121,876 is: 265,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,042 : 121,876 = 121,876 : x
  2. Step 2: Convert to fraction form
    56,042/121,876 = 121,876/x
  3. Step 3: Cross multiply
    56,042x = 121,876 × 121,876
  4. Step 4: Simplify right side
    56,042x = 14,853,759,376
  5. Step 5: Solve for x
    x = 14,853,759,376/56,042
  6. Step 6: Final answer
    x = 265,046.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.