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Finding the Third Proportional to 50,668 and 109,720

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Solution

The third proportional to 50,668 and 109,720 is: 237,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,668 : 109,720 = 109,720 : x
  2. Step 2: Convert to fraction form
    50,668/109,720 = 109,720/x
  3. Step 3: Cross multiply
    50,668x = 109,720 × 109,720
  4. Step 4: Simplify right side
    50,668x = 12,038,478,400
  5. Step 5: Solve for x
    x = 12,038,478,400/50,668
  6. Step 6: Final answer
    x = 237,595.29

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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.