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Finding the Third Proportional to 101,971 and 155,204

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Solution

The third proportional to 101,971 and 155,204 is: 236,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971 : 155,204 = 155,204 : x
  2. Step 2: Convert to fraction form
    101,971/155,204 = 155,204/x
  3. Step 3: Cross multiply
    101,971x = 155,204 × 155,204
  4. Step 4: Simplify right side
    101,971x = 24,088,281,616
  5. Step 5: Solve for x
    x = 24,088,281,616/101,971
  6. Step 6: Final answer
    x = 236,226.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.