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Finding the Third Proportional to 107 and 152.25

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Solution

The third proportional to 107 and 152.25 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 152.25 = 152.25 : x
  2. Step 2: Convert to fraction form
    107/152.25 = 152.25/x
  3. Step 3: Cross multiply
    107x = 152.25 × 152.25
  4. Step 4: Simplify right side
    107x = 23,180.06
  5. Step 5: Solve for x
    x = 23,180.06/107
  6. Step 6: Final answer
    x = 216.64

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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.