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Finding the Third Proportional to 64,330 and 131,780

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Solution

The third proportional to 64,330 and 131,780 is: 269,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,330 : 131,780 = 131,780 : x
  2. Step 2: Convert to fraction form
    64,330/131,780 = 131,780/x
  3. Step 3: Cross multiply
    64,330x = 131,780 × 131,780
  4. Step 4: Simplify right side
    64,330x = 17,365,968,400
  5. Step 5: Solve for x
    x = 17,365,968,400/64,330
  6. Step 6: Final answer
    x = 269,951.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.