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Finding the Third Proportional to 66,919 and 91,762

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Solution

The third proportional to 66,919 and 91,762 is: 125,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,919 : 91,762 = 91,762 : x
  2. Step 2: Convert to fraction form
    66,919/91,762 = 91,762/x
  3. Step 3: Cross multiply
    66,919x = 91,762 × 91,762
  4. Step 4: Simplify right side
    66,919x = 8,420,264,644
  5. Step 5: Solve for x
    x = 8,420,264,644/66,919
  6. Step 6: Final answer
    x = 125,827.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.