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Finding the Third Proportional to 65,652 and 144,424

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Solution

The third proportional to 65,652 and 144,424 is: 317,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652 : 144,424 = 144,424 : x
  2. Step 2: Convert to fraction form
    65,652/144,424 = 144,424/x
  3. Step 3: Cross multiply
    65,652x = 144,424 × 144,424
  4. Step 4: Simplify right side
    65,652x = 20,858,291,776
  5. Step 5: Solve for x
    x = 20,858,291,776/65,652
  6. Step 6: Final answer
    x = 317,709.92

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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.