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Finding the Third Proportional to 65,176.50 and 142,809

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Solution

The third proportional to 65,176.50 and 142,809 is: 312,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.50 : 142,809 = 142,809 : x
  2. Step 2: Convert to fraction form
    65,176.50/142,809 = 142,809/x
  3. Step 3: Cross multiply
    65,176.50x = 142,809 × 142,809
  4. Step 4: Simplify right side
    65,176.50x = 20,394,410,481
  5. Step 5: Solve for x
    x = 20,394,410,481/65,176.50
  6. Step 6: Final answer
    x = 312,910.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.