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Finding the Third Proportional to 43,277 and 90,927

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Solution

The third proportional to 43,277 and 90,927 is: 191,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,277 : 90,927 = 90,927 : x
  2. Step 2: Convert to fraction form
    43,277/90,927 = 90,927/x
  3. Step 3: Cross multiply
    43,277x = 90,927 × 90,927
  4. Step 4: Simplify right side
    43,277x = 8,267,719,329
  5. Step 5: Solve for x
    x = 8,267,719,329/43,277
  6. Step 6: Final answer
    x = 191,041.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.