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Finding the Third Proportional to 41,895 and 87,921

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Solution

The third proportional to 41,895 and 87,921 is: 184,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,895 : 87,921 = 87,921 : x
  2. Step 2: Convert to fraction form
    41,895/87,921 = 87,921/x
  3. Step 3: Cross multiply
    41,895x = 87,921 × 87,921
  4. Step 4: Simplify right side
    41,895x = 7,730,102,241
  5. Step 5: Solve for x
    x = 7,730,102,241/41,895
  6. Step 6: Final answer
    x = 184,511.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.