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Finding the Third Proportional to 71,435 and 107,801

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Solution

The third proportional to 71,435 and 107,801 is: 162,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435 : 107,801 = 107,801 : x
  2. Step 2: Convert to fraction form
    71,435/107,801 = 107,801/x
  3. Step 3: Cross multiply
    71,435x = 107,801 × 107,801
  4. Step 4: Simplify right side
    71,435x = 11,621,055,601
  5. Step 5: Solve for x
    x = 11,621,055,601/71,435
  6. Step 6: Final answer
    x = 162,680.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.