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Finding the Third Proportional to 68,595 and 91,041

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Solution

The third proportional to 68,595 and 91,041 is: 120,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,595 : 91,041 = 91,041 : x
  2. Step 2: Convert to fraction form
    68,595/91,041 = 91,041/x
  3. Step 3: Cross multiply
    68,595x = 91,041 × 91,041
  4. Step 4: Simplify right side
    68,595x = 8,288,463,681
  5. Step 5: Solve for x
    x = 8,288,463,681/68,595
  6. Step 6: Final answer
    x = 120,831.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.