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Finding the Third Proportional to 68,075 and 95,217

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Solution

The third proportional to 68,075 and 95,217 is: 133,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,075 : 95,217 = 95,217 : x
  2. Step 2: Convert to fraction form
    68,075/95,217 = 95,217/x
  3. Step 3: Cross multiply
    68,075x = 95,217 × 95,217
  4. Step 4: Simplify right side
    68,075x = 9,066,277,089
  5. Step 5: Solve for x
    x = 9,066,277,089/68,075
  6. Step 6: Final answer
    x = 133,180.71

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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.