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Finding the Third Proportional to 35,285 and 76,110

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Solution

The third proportional to 35,285 and 76,110 is: 164,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285 : 76,110 = 76,110 : x
  2. Step 2: Convert to fraction form
    35,285/76,110 = 76,110/x
  3. Step 3: Cross multiply
    35,285x = 76,110 × 76,110
  4. Step 4: Simplify right side
    35,285x = 5,792,732,100
  5. Step 5: Solve for x
    x = 5,792,732,100/35,285
  6. Step 6: Final answer
    x = 164,169.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.