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Finding the Third Proportional to 61,519.50 and 71,199

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Solution

The third proportional to 61,519.50 and 71,199 is: 82,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519.50 : 71,199 = 71,199 : x
  2. Step 2: Convert to fraction form
    61,519.50/71,199 = 71,199/x
  3. Step 3: Cross multiply
    61,519.50x = 71,199 × 71,199
  4. Step 4: Simplify right side
    61,519.50x = 5,069,297,601
  5. Step 5: Solve for x
    x = 5,069,297,601/61,519.50
  6. Step 6: Final answer
    x = 82,401.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.