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Finding the Third Proportional to 107.93 and 152.96

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Solution

The third proportional to 107.93 and 152.96 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.93 : 152.96 = 152.96 : x
  2. Step 2: Convert to fraction form
    107.93/152.96 = 152.96/x
  3. Step 3: Cross multiply
    107.93x = 152.96 × 152.96
  4. Step 4: Simplify right side
    107.93x = 23,398.24
  5. Step 5: Solve for x
    x = 23,398.24/107.93
  6. Step 6: Final answer
    x = 216.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.