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Finding the Third Proportional to 91,745 and 200,974

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Solution

The third proportional to 91,745 and 200,974 is: 440,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,745 : 200,974 = 200,974 : x
  2. Step 2: Convert to fraction form
    91,745/200,974 = 200,974/x
  3. Step 3: Cross multiply
    91,745x = 200,974 × 200,974
  4. Step 4: Simplify right side
    91,745x = 40,390,548,676
  5. Step 5: Solve for x
    x = 40,390,548,676/91,745
  6. Step 6: Final answer
    x = 440,247.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.