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Finding the Third Proportional to 119,221 and 167,099

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Solution

The third proportional to 119,221 and 167,099 is: 234,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221 : 167,099 = 167,099 : x
  2. Step 2: Convert to fraction form
    119,221/167,099 = 167,099/x
  3. Step 3: Cross multiply
    119,221x = 167,099 × 167,099
  4. Step 4: Simplify right side
    119,221x = 27,922,075,801
  5. Step 5: Solve for x
    x = 27,922,075,801/119,221
  6. Step 6: Final answer
    x = 234,204.34

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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.