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Finding the Third Proportional to 49,289 and 108,418

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Solution

The third proportional to 49,289 and 108,418 is: 238,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289 : 108,418 = 108,418 : x
  2. Step 2: Convert to fraction form
    49,289/108,418 = 108,418/x
  3. Step 3: Cross multiply
    49,289x = 108,418 × 108,418
  4. Step 4: Simplify right side
    49,289x = 11,754,462,724
  5. Step 5: Solve for x
    x = 11,754,462,724/49,289
  6. Step 6: Final answer
    x = 238,480.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.