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Finding the Third Proportional to 43,566 and 93,612

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Solution

The third proportional to 43,566 and 93,612 is: 201,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,566 : 93,612 = 93,612 : x
  2. Step 2: Convert to fraction form
    43,566/93,612 = 93,612/x
  3. Step 3: Cross multiply
    43,566x = 93,612 × 93,612
  4. Step 4: Simplify right side
    43,566x = 8,763,206,544
  5. Step 5: Solve for x
    x = 8,763,206,544/43,566
  6. Step 6: Final answer
    x = 201,147.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.