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Finding the Third Proportional to 41,043 and 87,702

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Solution

The third proportional to 41,043 and 87,702 is: 187,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,043 : 87,702 = 87,702 : x
  2. Step 2: Convert to fraction form
    41,043/87,702 = 87,702/x
  3. Step 3: Cross multiply
    41,043x = 87,702 × 87,702
  4. Step 4: Simplify right side
    41,043x = 7,691,640,804
  5. Step 5: Solve for x
    x = 7,691,640,804/41,043
  6. Step 6: Final answer
    x = 187,404.45

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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.