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Finding the Third Proportional to 67,586 and 98,811

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Solution

The third proportional to 67,586 and 98,811 is: 144,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,586 : 98,811 = 98,811 : x
  2. Step 2: Convert to fraction form
    67,586/98,811 = 98,811/x
  3. Step 3: Cross multiply
    67,586x = 98,811 × 98,811
  4. Step 4: Simplify right side
    67,586x = 9,763,613,721
  5. Step 5: Solve for x
    x = 9,763,613,721/67,586
  6. Step 6: Final answer
    x = 144,462.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.