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Finding the Third Proportional to 83,127 and 172,170

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Solution

The third proportional to 83,127 and 172,170 is: 356,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127 : 172,170 = 172,170 : x
  2. Step 2: Convert to fraction form
    83,127/172,170 = 172,170/x
  3. Step 3: Cross multiply
    83,127x = 172,170 × 172,170
  4. Step 4: Simplify right side
    83,127x = 29,642,508,900
  5. Step 5: Solve for x
    x = 29,642,508,900/83,127
  6. Step 6: Final answer
    x = 356,593.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.