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Finding the Third Proportional to 43,686 and 94,518

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Solution

The third proportional to 43,686 and 94,518 is: 204,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 94,518 = 94,518 : x
  2. Step 2: Convert to fraction form
    43,686/94,518 = 94,518/x
  3. Step 3: Cross multiply
    43,686x = 94,518 × 94,518
  4. Step 4: Simplify right side
    43,686x = 8,933,652,324
  5. Step 5: Solve for x
    x = 8,933,652,324/43,686
  6. Step 6: Final answer
    x = 204,496.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.