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Finding the Third Proportional to 107.72 and 167.06

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Solution

The third proportional to 107.72 and 167.06 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.72 : 167.06 = 167.06 : x
  2. Step 2: Convert to fraction form
    107.72/167.06 = 167.06/x
  3. Step 3: Cross multiply
    107.72x = 167.06 × 167.06
  4. Step 4: Simplify right side
    107.72x = 27,909.88
  5. Step 5: Solve for x
    x = 27,909.88/107.72
  6. Step 6: Final answer
    x = 259.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.