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Finding the Third Proportional to 80,210 and 173,134

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Solution

The third proportional to 80,210 and 173,134 is: 373,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,210 : 173,134 = 173,134 : x
  2. Step 2: Convert to fraction form
    80,210/173,134 = 173,134/x
  3. Step 3: Cross multiply
    80,210x = 173,134 × 173,134
  4. Step 4: Simplify right side
    80,210x = 29,975,381,956
  5. Step 5: Solve for x
    x = 29,975,381,956/80,210
  6. Step 6: Final answer
    x = 373,711.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.