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Finding the Third Proportional to 70.75 and 106.19

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Solution

The third proportional to 70.75 and 106.19 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 106.19 = 106.19 : x
  2. Step 2: Convert to fraction form
    70.75/106.19 = 106.19/x
  3. Step 3: Cross multiply
    70.75x = 106.19 × 106.19
  4. Step 4: Simplify right side
    70.75x = 11,275.79
  5. Step 5: Solve for x
    x = 11,275.79/70.75
  6. Step 6: Final answer
    x = 159.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.