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Finding the Third Proportional to 66,828 and 94,002

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Solution

The third proportional to 66,828 and 94,002 is: 132,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828 : 94,002 = 94,002 : x
  2. Step 2: Convert to fraction form
    66,828/94,002 = 94,002/x
  3. Step 3: Cross multiply
    66,828x = 94,002 × 94,002
  4. Step 4: Simplify right side
    66,828x = 8,836,376,004
  5. Step 5: Solve for x
    x = 8,836,376,004/66,828
  6. Step 6: Final answer
    x = 132,225.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.