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Finding the Third Proportional to 43,234 and 63,446

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Solution

The third proportional to 43,234 and 63,446 is: 93,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,234 : 63,446 = 63,446 : x
  2. Step 2: Convert to fraction form
    43,234/63,446 = 63,446/x
  3. Step 3: Cross multiply
    43,234x = 63,446 × 63,446
  4. Step 4: Simplify right side
    43,234x = 4,025,394,916
  5. Step 5: Solve for x
    x = 4,025,394,916/43,234
  6. Step 6: Final answer
    x = 93,107.16

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