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Finding the Third Proportional to 92,277 and 195,489

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Solution

The third proportional to 92,277 and 195,489 is: 414,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,277 : 195,489 = 195,489 : x
  2. Step 2: Convert to fraction form
    92,277/195,489 = 195,489/x
  3. Step 3: Cross multiply
    92,277x = 195,489 × 195,489
  4. Step 4: Simplify right side
    92,277x = 38,215,949,121
  5. Step 5: Solve for x
    x = 38,215,949,121/92,277
  6. Step 6: Final answer
    x = 414,143.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.