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Finding the Third Proportional to 49,446 and 107,280

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Solution

The third proportional to 49,446 and 107,280 is: 232,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,446 : 107,280 = 107,280 : x
  2. Step 2: Convert to fraction form
    49,446/107,280 = 107,280/x
  3. Step 3: Cross multiply
    49,446x = 107,280 × 107,280
  4. Step 4: Simplify right side
    49,446x = 11,508,998,400
  5. Step 5: Solve for x
    x = 11,508,998,400/49,446
  6. Step 6: Final answer
    x = 232,758.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.