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Finding the Third Proportional to 81,964 and 126,586

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Solution

The third proportional to 81,964 and 126,586 is: 195,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,964 : 126,586 = 126,586 : x
  2. Step 2: Convert to fraction form
    81,964/126,586 = 126,586/x
  3. Step 3: Cross multiply
    81,964x = 126,586 × 126,586
  4. Step 4: Simplify right side
    81,964x = 16,024,015,396
  5. Step 5: Solve for x
    x = 16,024,015,396/81,964
  6. Step 6: Final answer
    x = 195,500.65

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Why These Related Problems?

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