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Finding the Third Proportional to 69.56 and 140.06

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Solution

The third proportional to 69.56 and 140.06 is: 282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 140.06 = 140.06 : x
  2. Step 2: Convert to fraction form
    69.56/140.06 = 140.06/x
  3. Step 3: Cross multiply
    69.56x = 140.06 × 140.06
  4. Step 4: Simplify right side
    69.56x = 19,617.50
  5. Step 5: Solve for x
    x = 19,617.50/69.56
  6. Step 6: Final answer
    x = 282.01

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.