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Finding the Third Proportional to 49,324 and 107,876

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Solution

The third proportional to 49,324 and 107,876 is: 235,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 107,876 = 107,876 : x
  2. Step 2: Convert to fraction form
    49,324/107,876 = 107,876/x
  3. Step 3: Cross multiply
    49,324x = 107,876 × 107,876
  4. Step 4: Simplify right side
    49,324x = 11,637,231,376
  5. Step 5: Solve for x
    x = 11,637,231,376/49,324
  6. Step 6: Final answer
    x = 235,934.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.