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Finding the Third Proportional to 41,895 and 89,787

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Solution

The third proportional to 41,895 and 89,787 is: 192,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,895 : 89,787 = 89,787 : x
  2. Step 2: Convert to fraction form
    41,895/89,787 = 89,787/x
  3. Step 3: Cross multiply
    41,895x = 89,787 × 89,787
  4. Step 4: Simplify right side
    41,895x = 8,061,705,369
  5. Step 5: Solve for x
    x = 8,061,705,369/41,895
  6. Step 6: Final answer
    x = 192,426.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.