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Finding the Third Proportional to 65,404 and 145,612

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Solution

The third proportional to 65,404 and 145,612 is: 324,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404 : 145,612 = 145,612 : x
  2. Step 2: Convert to fraction form
    65,404/145,612 = 145,612/x
  3. Step 3: Cross multiply
    65,404x = 145,612 × 145,612
  4. Step 4: Simplify right side
    65,404x = 21,202,854,544
  5. Step 5: Solve for x
    x = 21,202,854,544/65,404
  6. Step 6: Final answer
    x = 324,182.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.