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Finding the Third Proportional to 65,738 and 144,652

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Solution

The third proportional to 65,738 and 144,652 is: 318,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738 : 144,652 = 144,652 : x
  2. Step 2: Convert to fraction form
    65,738/144,652 = 144,652/x
  3. Step 3: Cross multiply
    65,738x = 144,652 × 144,652
  4. Step 4: Simplify right side
    65,738x = 20,924,201,104
  5. Step 5: Solve for x
    x = 20,924,201,104/65,738
  6. Step 6: Final answer
    x = 318,296.89

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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.