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Finding the Third Proportional to 40,126 and 60,191

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Solution

The third proportional to 40,126 and 60,191 is: 90,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,126 : 60,191 = 60,191 : x
  2. Step 2: Convert to fraction form
    40,126/60,191 = 60,191/x
  3. Step 3: Cross multiply
    40,126x = 60,191 × 60,191
  4. Step 4: Simplify right side
    40,126x = 3,622,956,481
  5. Step 5: Solve for x
    x = 3,622,956,481/40,126
  6. Step 6: Final answer
    x = 90,289.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.