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Finding the Third Proportional to 119,264 and 167,160

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Solution

The third proportional to 119,264 and 167,160 is: 234,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,264 : 167,160 = 167,160 : x
  2. Step 2: Convert to fraction form
    119,264/167,160 = 167,160/x
  3. Step 3: Cross multiply
    119,264x = 167,160 × 167,160
  4. Step 4: Simplify right side
    119,264x = 27,942,465,600
  5. Step 5: Solve for x
    x = 27,942,465,600/119,264
  6. Step 6: Final answer
    x = 234,290.86

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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.