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Finding the Third Proportional to 80,416 and 171,877

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Solution

The third proportional to 80,416 and 171,877 is: 367,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416 : 171,877 = 171,877 : x
  2. Step 2: Convert to fraction form
    80,416/171,877 = 171,877/x
  3. Step 3: Cross multiply
    80,416x = 171,877 × 171,877
  4. Step 4: Simplify right side
    80,416x = 29,541,703,129
  5. Step 5: Solve for x
    x = 29,541,703,129/80,416
  6. Step 6: Final answer
    x = 367,361.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.