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Finding the Third Proportional to 83,566 and 183,668

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Solution

The third proportional to 83,566 and 183,668 is: 403,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,566 : 183,668 = 183,668 : x
  2. Step 2: Convert to fraction form
    83,566/183,668 = 183,668/x
  3. Step 3: Cross multiply
    83,566x = 183,668 × 183,668
  4. Step 4: Simplify right side
    83,566x = 33,733,934,224
  5. Step 5: Solve for x
    x = 33,733,934,224/83,566
  6. Step 6: Final answer
    x = 403,680.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.