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Finding the Third Proportional to 119,239 and 167,111

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Solution

The third proportional to 119,239 and 167,111 is: 234,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,239 : 167,111 = 167,111 : x
  2. Step 2: Convert to fraction form
    119,239/167,111 = 167,111/x
  3. Step 3: Cross multiply
    119,239x = 167,111 × 167,111
  4. Step 4: Simplify right side
    119,239x = 27,926,086,321
  5. Step 5: Solve for x
    x = 27,926,086,321/119,239
  6. Step 6: Final answer
    x = 234,202.62

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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.