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Finding the Third Proportional to 40,277 and 91,000

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Solution

The third proportional to 40,277 and 91,000 is: 205,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277 : 91,000 = 91,000 : x
  2. Step 2: Convert to fraction form
    40,277/91,000 = 91,000/x
  3. Step 3: Cross multiply
    40,277x = 91,000 × 91,000
  4. Step 4: Simplify right side
    40,277x = 8,281,000,000
  5. Step 5: Solve for x
    x = 8,281,000,000/40,277
  6. Step 6: Final answer
    x = 205,601.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.