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Finding the Third Proportional to 91,750 and 189,793

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Solution

The third proportional to 91,750 and 189,793 is: 392,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,750 : 189,793 = 189,793 : x
  2. Step 2: Convert to fraction form
    91,750/189,793 = 189,793/x
  3. Step 3: Cross multiply
    91,750x = 189,793 × 189,793
  4. Step 4: Simplify right side
    91,750x = 36,021,382,849
  5. Step 5: Solve for x
    x = 36,021,382,849/91,750
  6. Step 6: Final answer
    x = 392,603.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.