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Finding the Third Proportional to 43,702 and 94,802

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Solution

The third proportional to 43,702 and 94,802 is: 205,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,702 : 94,802 = 94,802 : x
  2. Step 2: Convert to fraction form
    43,702/94,802 = 94,802/x
  3. Step 3: Cross multiply
    43,702x = 94,802 × 94,802
  4. Step 4: Simplify right side
    43,702x = 8,987,419,204
  5. Step 5: Solve for x
    x = 8,987,419,204/43,702
  6. Step 6: Final answer
    x = 205,652.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.