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Finding the Third Proportional to 63,770 and 140,416

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Solution

The third proportional to 63,770 and 140,416 is: 309,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,770 : 140,416 = 140,416 : x
  2. Step 2: Convert to fraction form
    63,770/140,416 = 140,416/x
  3. Step 3: Cross multiply
    63,770x = 140,416 × 140,416
  4. Step 4: Simplify right side
    63,770x = 19,716,653,056
  5. Step 5: Solve for x
    x = 19,716,653,056/63,770
  6. Step 6: Final answer
    x = 309,183.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.