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Finding the Third Proportional to 103,952 and 167,412

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Solution

The third proportional to 103,952 and 167,412 is: 269,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952 : 167,412 = 167,412 : x
  2. Step 2: Convert to fraction form
    103,952/167,412 = 167,412/x
  3. Step 3: Cross multiply
    103,952x = 167,412 × 167,412
  4. Step 4: Simplify right side
    103,952x = 28,026,777,744
  5. Step 5: Solve for x
    x = 28,026,777,744/103,952
  6. Step 6: Final answer
    x = 269,612.68

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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.