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Finding the Third Proportional to 49,192 and 108,721

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Solution

The third proportional to 49,192 and 108,721 is: 240,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192 : 108,721 = 108,721 : x
  2. Step 2: Convert to fraction form
    49,192/108,721 = 108,721/x
  3. Step 3: Cross multiply
    49,192x = 108,721 × 108,721
  4. Step 4: Simplify right side
    49,192x = 11,820,255,841
  5. Step 5: Solve for x
    x = 11,820,255,841/49,192
  6. Step 6: Final answer
    x = 240,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.