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Finding the Third Proportional to 90,551 and 196,671

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Solution

The third proportional to 90,551 and 196,671 is: 427,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,551 : 196,671 = 196,671 : x
  2. Step 2: Convert to fraction form
    90,551/196,671 = 196,671/x
  3. Step 3: Cross multiply
    90,551x = 196,671 × 196,671
  4. Step 4: Simplify right side
    90,551x = 38,679,482,241
  5. Step 5: Solve for x
    x = 38,679,482,241/90,551
  6. Step 6: Final answer
    x = 427,156.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.