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Finding the Third Proportional to 80,714 and 121,359

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Solution

The third proportional to 80,714 and 121,359 is: 182,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714 : 121,359 = 121,359 : x
  2. Step 2: Convert to fraction form
    80,714/121,359 = 121,359/x
  3. Step 3: Cross multiply
    80,714x = 121,359 × 121,359
  4. Step 4: Simplify right side
    80,714x = 14,728,006,881
  5. Step 5: Solve for x
    x = 14,728,006,881/80,714
  6. Step 6: Final answer
    x = 182,471.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.