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Finding the Third Proportional to 75,479 and 161,530

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Solution

The third proportional to 75,479 and 161,530 is: 345,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,479 : 161,530 = 161,530 : x
  2. Step 2: Convert to fraction form
    75,479/161,530 = 161,530/x
  3. Step 3: Cross multiply
    75,479x = 161,530 × 161,530
  4. Step 4: Simplify right side
    75,479x = 26,091,940,900
  5. Step 5: Solve for x
    x = 26,091,940,900/75,479
  6. Step 6: Final answer
    x = 345,684.77

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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.