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Finding the Third Proportional to 49,384 and 107,520

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Solution

The third proportional to 49,384 and 107,520 is: 234,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384 : 107,520 = 107,520 : x
  2. Step 2: Convert to fraction form
    49,384/107,520 = 107,520/x
  3. Step 3: Cross multiply
    49,384x = 107,520 × 107,520
  4. Step 4: Simplify right side
    49,384x = 11,560,550,400
  5. Step 5: Solve for x
    x = 11,560,550,400/49,384
  6. Step 6: Final answer
    x = 234,095.06

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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.