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Finding the Third Proportional to 79,001 and 171,118

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Solution

The third proportional to 79,001 and 171,118 is: 370,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,001 : 171,118 = 171,118 : x
  2. Step 2: Convert to fraction form
    79,001/171,118 = 171,118/x
  3. Step 3: Cross multiply
    79,001x = 171,118 × 171,118
  4. Step 4: Simplify right side
    79,001x = 29,281,369,924
  5. Step 5: Solve for x
    x = 29,281,369,924/79,001
  6. Step 6: Final answer
    x = 370,645.56

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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.