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Finding the Third Proportional to 107.75 and 157.06

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Solution

The third proportional to 107.75 and 157.06 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.75 : 157.06 = 157.06 : x
  2. Step 2: Convert to fraction form
    107.75/157.06 = 157.06/x
  3. Step 3: Cross multiply
    107.75x = 157.06 × 157.06
  4. Step 4: Simplify right side
    107.75x = 24,668.63
  5. Step 5: Solve for x
    x = 24,668.63/107.75
  6. Step 6: Final answer
    x = 228.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.