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Finding the Third Proportional to 64,571 and 142,189

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Solution

The third proportional to 64,571 and 142,189 is: 313,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,571 : 142,189 = 142,189 : x
  2. Step 2: Convert to fraction form
    64,571/142,189 = 142,189/x
  3. Step 3: Cross multiply
    64,571x = 142,189 × 142,189
  4. Step 4: Simplify right side
    64,571x = 20,217,711,721
  5. Step 5: Solve for x
    x = 20,217,711,721/64,571
  6. Step 6: Final answer
    x = 313,108.23

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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.