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Finding the Third Proportional to 41,544 and 90,702

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Solution

The third proportional to 41,544 and 90,702 is: 198,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,544 : 90,702 = 90,702 : x
  2. Step 2: Convert to fraction form
    41,544/90,702 = 90,702/x
  3. Step 3: Cross multiply
    41,544x = 90,702 × 90,702
  4. Step 4: Simplify right side
    41,544x = 8,226,852,804
  5. Step 5: Solve for x
    x = 8,226,852,804/41,544
  6. Step 6: Final answer
    x = 198,027.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.