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Finding the Third Proportional to 40,620 and 88,149

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Solution

The third proportional to 40,620 and 88,149 is: 191,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,620 : 88,149 = 88,149 : x
  2. Step 2: Convert to fraction form
    40,620/88,149 = 88,149/x
  3. Step 3: Cross multiply
    40,620x = 88,149 × 88,149
  4. Step 4: Simplify right side
    40,620x = 7,770,246,201
  5. Step 5: Solve for x
    x = 7,770,246,201/40,620
  6. Step 6: Final answer
    x = 191,291.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.