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Finding the Third Proportional to 36,436 and 85,978

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Solution

The third proportional to 36,436 and 85,978 is: 202,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,436 : 85,978 = 85,978 : x
  2. Step 2: Convert to fraction form
    36,436/85,978 = 85,978/x
  3. Step 3: Cross multiply
    36,436x = 85,978 × 85,978
  4. Step 4: Simplify right side
    36,436x = 7,392,216,484
  5. Step 5: Solve for x
    x = 7,392,216,484/36,436
  6. Step 6: Final answer
    x = 202,882.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.