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Finding the Third Proportional to 119,225 and 167,118

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Solution

The third proportional to 119,225 and 167,118 is: 234,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,225 : 167,118 = 167,118 : x
  2. Step 2: Convert to fraction form
    119,225/167,118 = 167,118/x
  3. Step 3: Cross multiply
    119,225x = 167,118 × 167,118
  4. Step 4: Simplify right side
    119,225x = 27,928,425,924
  5. Step 5: Solve for x
    x = 27,928,425,924/119,225
  6. Step 6: Final answer
    x = 234,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.