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Finding the Third Proportional to 66,933 and 96,714

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Solution

The third proportional to 66,933 and 96,714 is: 139,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 96,714 = 96,714 : x
  2. Step 2: Convert to fraction form
    66,933/96,714 = 96,714/x
  3. Step 3: Cross multiply
    66,933x = 96,714 × 96,714
  4. Step 4: Simplify right side
    66,933x = 9,353,597,796
  5. Step 5: Solve for x
    x = 9,353,597,796/66,933
  6. Step 6: Final answer
    x = 139,745.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.