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Finding the Third Proportional to 107,194 and 162,519

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Solution

The third proportional to 107,194 and 162,519 is: 246,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,194 : 162,519 = 162,519 : x
  2. Step 2: Convert to fraction form
    107,194/162,519 = 162,519/x
  3. Step 3: Cross multiply
    107,194x = 162,519 × 162,519
  4. Step 4: Simplify right side
    107,194x = 26,412,425,361
  5. Step 5: Solve for x
    x = 26,412,425,361/107,194
  6. Step 6: Final answer
    x = 246,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.