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Finding the Third Proportional to 66,831 and 98,052

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Solution

The third proportional to 66,831 and 98,052 is: 143,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831 : 98,052 = 98,052 : x
  2. Step 2: Convert to fraction form
    66,831/98,052 = 98,052/x
  3. Step 3: Cross multiply
    66,831x = 98,052 × 98,052
  4. Step 4: Simplify right side
    66,831x = 9,614,194,704
  5. Step 5: Solve for x
    x = 9,614,194,704/66,831
  6. Step 6: Final answer
    x = 143,858.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.