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Finding the Third Proportional to 70.84 and 107.14

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Solution

The third proportional to 70.84 and 107.14 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 107.14 = 107.14 : x
  2. Step 2: Convert to fraction form
    70.84/107.14 = 107.14/x
  3. Step 3: Cross multiply
    70.84x = 107.14 × 107.14
  4. Step 4: Simplify right side
    70.84x = 11,479.64
  5. Step 5: Solve for x
    x = 11,479.64/70.84
  6. Step 6: Final answer
    x = 162.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.