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Finding the Third Proportional to 42.70 and 68.06

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Solution

The third proportional to 42.70 and 68.06 is: 108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.70 : 68.06 = 68.06 : x
  2. Step 2: Convert to fraction form
    42.70/68.06 = 68.06/x
  3. Step 3: Cross multiply
    42.70x = 68.06 × 68.06
  4. Step 4: Simplify right side
    42.70x = 4,632.69
  5. Step 5: Solve for x
    x = 4,632.69/42.70
  6. Step 6: Final answer
    x = 108.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.