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Finding the Third Proportional to 66,003 and 108,354

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Solution

The third proportional to 66,003 and 108,354 is: 177,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,003 : 108,354 = 108,354 : x
  2. Step 2: Convert to fraction form
    66,003/108,354 = 108,354/x
  3. Step 3: Cross multiply
    66,003x = 108,354 × 108,354
  4. Step 4: Simplify right side
    66,003x = 11,740,589,316
  5. Step 5: Solve for x
    x = 11,740,589,316/66,003
  6. Step 6: Final answer
    x = 177,879.63

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.