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Finding the Third Proportional to 36,125 and 87,023

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Solution

The third proportional to 36,125 and 87,023 is: 209,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,125 : 87,023 = 87,023 : x
  2. Step 2: Convert to fraction form
    36,125/87,023 = 87,023/x
  3. Step 3: Cross multiply
    36,125x = 87,023 × 87,023
  4. Step 4: Simplify right side
    36,125x = 7,573,002,529
  5. Step 5: Solve for x
    x = 7,573,002,529/36,125
  6. Step 6: Final answer
    x = 209,633.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.