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Finding the Third Proportional to 92,472 and 199,671

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Solution

The third proportional to 92,472 and 199,671 is: 431,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472 : 199,671 = 199,671 : x
  2. Step 2: Convert to fraction form
    92,472/199,671 = 199,671/x
  3. Step 3: Cross multiply
    92,472x = 199,671 × 199,671
  4. Step 4: Simplify right side
    92,472x = 39,868,508,241
  5. Step 5: Solve for x
    x = 39,868,508,241/92,472
  6. Step 6: Final answer
    x = 431,141.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.