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Finding the Third Proportional to 49,781 and 107,479

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Solution

The third proportional to 49,781 and 107,479 is: 232,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,781 : 107,479 = 107,479 : x
  2. Step 2: Convert to fraction form
    49,781/107,479 = 107,479/x
  3. Step 3: Cross multiply
    49,781x = 107,479 × 107,479
  4. Step 4: Simplify right side
    49,781x = 11,551,735,441
  5. Step 5: Solve for x
    x = 11,551,735,441/49,781
  6. Step 6: Final answer
    x = 232,051.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.