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Finding the Third Proportional to 43,774 and 95,470

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Solution

The third proportional to 43,774 and 95,470 is: 208,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774 : 95,470 = 95,470 : x
  2. Step 2: Convert to fraction form
    43,774/95,470 = 95,470/x
  3. Step 3: Cross multiply
    43,774x = 95,470 × 95,470
  4. Step 4: Simplify right side
    43,774x = 9,114,520,900
  5. Step 5: Solve for x
    x = 9,114,520,900/43,774
  6. Step 6: Final answer
    x = 208,217.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.