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Finding the Third Proportional to 78,471 and 161,073

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Solution

The third proportional to 78,471 and 161,073 is: 330,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471 : 161,073 = 161,073 : x
  2. Step 2: Convert to fraction form
    78,471/161,073 = 161,073/x
  3. Step 3: Cross multiply
    78,471x = 161,073 × 161,073
  4. Step 4: Simplify right side
    78,471x = 25,944,511,329
  5. Step 5: Solve for x
    x = 25,944,511,329/78,471
  6. Step 6: Final answer
    x = 330,625.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.