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Finding the Third Proportional to 69.05 and 99.70

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Solution

The third proportional to 69.05 and 99.70 is: 143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 99.70 = 99.70 : x
  2. Step 2: Convert to fraction form
    69.05/99.70 = 99.70/x
  3. Step 3: Cross multiply
    69.05x = 99.70 × 99.70
  4. Step 4: Simplify right side
    69.05x = 9,940.71
  5. Step 5: Solve for x
    x = 9,940.71/69.05
  6. Step 6: Final answer
    x = 143.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.