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Finding the Third Proportional to 71,762 and 107,667

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Solution

The third proportional to 71,762 and 107,667 is: 161,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762 : 107,667 = 107,667 : x
  2. Step 2: Convert to fraction form
    71,762/107,667 = 107,667/x
  3. Step 3: Cross multiply
    71,762x = 107,667 × 107,667
  4. Step 4: Simplify right side
    71,762x = 11,592,182,889
  5. Step 5: Solve for x
    x = 11,592,182,889/71,762
  6. Step 6: Final answer
    x = 161,536.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.