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Finding the Third Proportional to 36,209 and 78,250

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Solution

The third proportional to 36,209 and 78,250 is: 169,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209 : 78,250 = 78,250 : x
  2. Step 2: Convert to fraction form
    36,209/78,250 = 78,250/x
  3. Step 3: Cross multiply
    36,209x = 78,250 × 78,250
  4. Step 4: Simplify right side
    36,209x = 6,123,062,500
  5. Step 5: Solve for x
    x = 6,123,062,500/36,209
  6. Step 6: Final answer
    x = 169,103.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.