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Finding the Third Proportional to 65,801 and 144,721

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Solution

The third proportional to 65,801 and 144,721 is: 318,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801 : 144,721 = 144,721 : x
  2. Step 2: Convert to fraction form
    65,801/144,721 = 144,721/x
  3. Step 3: Cross multiply
    65,801x = 144,721 × 144,721
  4. Step 4: Simplify right side
    65,801x = 20,944,167,841
  5. Step 5: Solve for x
    x = 20,944,167,841/65,801
  6. Step 6: Final answer
    x = 318,295.59

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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.