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Finding the Third Proportional to 169,092 and 253,110

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Solution

The third proportional to 169,092 and 253,110 is: 378,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,092 : 253,110 = 253,110 : x
  2. Step 2: Convert to fraction form
    169,092/253,110 = 253,110/x
  3. Step 3: Cross multiply
    169,092x = 253,110 × 253,110
  4. Step 4: Simplify right side
    169,092x = 64,064,672,100
  5. Step 5: Solve for x
    x = 64,064,672,100/169,092
  6. Step 6: Final answer
    x = 378,874.65

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