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Finding the Third Proportional to 49,771 and 108,289

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Solution

The third proportional to 49,771 and 108,289 is: 235,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771 : 108,289 = 108,289 : x
  2. Step 2: Convert to fraction form
    49,771/108,289 = 108,289/x
  3. Step 3: Cross multiply
    49,771x = 108,289 × 108,289
  4. Step 4: Simplify right side
    49,771x = 11,726,507,521
  5. Step 5: Solve for x
    x = 11,726,507,521/49,771
  6. Step 6: Final answer
    x = 235,609.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.