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Finding the Third Proportional to 65,800 and 144,722

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Solution

The third proportional to 65,800 and 144,722 is: 318,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,800 : 144,722 = 144,722 : x
  2. Step 2: Convert to fraction form
    65,800/144,722 = 144,722/x
  3. Step 3: Cross multiply
    65,800x = 144,722 × 144,722
  4. Step 4: Simplify right side
    65,800x = 20,944,457,284
  5. Step 5: Solve for x
    x = 20,944,457,284/65,800
  6. Step 6: Final answer
    x = 318,304.82

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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.