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Finding the Third Proportional to 36,199 and 84,579

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Solution

The third proportional to 36,199 and 84,579 is: 197,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,199 : 84,579 = 84,579 : x
  2. Step 2: Convert to fraction form
    36,199/84,579 = 84,579/x
  3. Step 3: Cross multiply
    36,199x = 84,579 × 84,579
  4. Step 4: Simplify right side
    36,199x = 7,153,607,241
  5. Step 5: Solve for x
    x = 7,153,607,241/36,199
  6. Step 6: Final answer
    x = 197,618.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.