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Finding the Third Proportional to 107.53 and 164.20

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Solution

The third proportional to 107.53 and 164.20 is: 250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 164.20 = 164.20 : x
  2. Step 2: Convert to fraction form
    107.53/164.20 = 164.20/x
  3. Step 3: Cross multiply
    107.53x = 164.20 × 164.20
  4. Step 4: Simplify right side
    107.53x = 26,962.67
  5. Step 5: Solve for x
    x = 26,962.67/107.53
  6. Step 6: Final answer
    x = 250.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.