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Finding the Third Proportional to 103,982 and 167,458

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Solution

The third proportional to 103,982 and 167,458 is: 269,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982 : 167,458 = 167,458 : x
  2. Step 2: Convert to fraction form
    103,982/167,458 = 167,458/x
  3. Step 3: Cross multiply
    103,982x = 167,458 × 167,458
  4. Step 4: Simplify right side
    103,982x = 28,042,181,764
  5. Step 5: Solve for x
    x = 28,042,181,764/103,982
  6. Step 6: Final answer
    x = 269,683.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.