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Finding the Third Proportional to 82,934 and 127,550

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Solution

The third proportional to 82,934 and 127,550 is: 196,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934 : 127,550 = 127,550 : x
  2. Step 2: Convert to fraction form
    82,934/127,550 = 127,550/x
  3. Step 3: Cross multiply
    82,934x = 127,550 × 127,550
  4. Step 4: Simplify right side
    82,934x = 16,269,002,500
  5. Step 5: Solve for x
    x = 16,269,002,500/82,934
  6. Step 6: Final answer
    x = 196,168.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.