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Finding the Third Proportional to 66,937 and 107,622

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Solution

The third proportional to 66,937 and 107,622 is: 173,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,937 : 107,622 = 107,622 : x
  2. Step 2: Convert to fraction form
    66,937/107,622 = 107,622/x
  3. Step 3: Cross multiply
    66,937x = 107,622 × 107,622
  4. Step 4: Simplify right side
    66,937x = 11,582,494,884
  5. Step 5: Solve for x
    x = 11,582,494,884/66,937
  6. Step 6: Final answer
    x = 173,035.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.