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Finding the Third Proportional to 76,092 and 161,880

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Solution

The third proportional to 76,092 and 161,880 is: 344,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092 : 161,880 = 161,880 : x
  2. Step 2: Convert to fraction form
    76,092/161,880 = 161,880/x
  3. Step 3: Cross multiply
    76,092x = 161,880 × 161,880
  4. Step 4: Simplify right side
    76,092x = 26,205,134,400
  5. Step 5: Solve for x
    x = 26,205,134,400/76,092
  6. Step 6: Final answer
    x = 344,387.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.