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Finding the Third Proportional to 40,566 and 87,168

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Solution

The third proportional to 40,566 and 87,168 is: 187,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,566 : 87,168 = 87,168 : x
  2. Step 2: Convert to fraction form
    40,566/87,168 = 87,168/x
  3. Step 3: Cross multiply
    40,566x = 87,168 × 87,168
  4. Step 4: Simplify right side
    40,566x = 7,598,260,224
  5. Step 5: Solve for x
    x = 7,598,260,224/40,566
  6. Step 6: Final answer
    x = 187,306.12

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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.