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Finding the Third Proportional to 68,105 and 95,351

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Solution

The third proportional to 68,105 and 95,351 is: 133,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,105 : 95,351 = 95,351 : x
  2. Step 2: Convert to fraction form
    68,105/95,351 = 95,351/x
  3. Step 3: Cross multiply
    68,105x = 95,351 × 95,351
  4. Step 4: Simplify right side
    68,105x = 9,091,813,201
  5. Step 5: Solve for x
    x = 9,091,813,201/68,105
  6. Step 6: Final answer
    x = 133,497.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.