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Finding the Third Proportional to 66,228 and 99,950

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Solution

The third proportional to 66,228 and 99,950 is: 150,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,228 : 99,950 = 99,950 : x
  2. Step 2: Convert to fraction form
    66,228/99,950 = 99,950/x
  3. Step 3: Cross multiply
    66,228x = 99,950 × 99,950
  4. Step 4: Simplify right side
    66,228x = 9,990,002,500
  5. Step 5: Solve for x
    x = 9,990,002,500/66,228
  6. Step 6: Final answer
    x = 150,842.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.