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Finding the Third Proportional to 79,101 and 171,882

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Solution

The third proportional to 79,101 and 171,882 is: 373,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,101 : 171,882 = 171,882 : x
  2. Step 2: Convert to fraction form
    79,101/171,882 = 171,882/x
  3. Step 3: Cross multiply
    79,101x = 171,882 × 171,882
  4. Step 4: Simplify right side
    79,101x = 29,543,421,924
  5. Step 5: Solve for x
    x = 29,543,421,924/79,101
  6. Step 6: Final answer
    x = 373,489.87

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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.