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Finding the Third Proportional to 44,613 and 95,665

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Solution

The third proportional to 44,613 and 95,665 is: 205,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,613 : 95,665 = 95,665 : x
  2. Step 2: Convert to fraction form
    44,613/95,665 = 95,665/x
  3. Step 3: Cross multiply
    44,613x = 95,665 × 95,665
  4. Step 4: Simplify right side
    44,613x = 9,151,792,225
  5. Step 5: Solve for x
    x = 9,151,792,225/44,613
  6. Step 6: Final answer
    x = 205,137.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.