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Finding the Third Proportional to 107 and 126.50

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Solution

The third proportional to 107 and 126.50 is: 149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 126.50 = 126.50 : x
  2. Step 2: Convert to fraction form
    107/126.50 = 126.50/x
  3. Step 3: Cross multiply
    107x = 126.50 × 126.50
  4. Step 4: Simplify right side
    107x = 16,002.25
  5. Step 5: Solve for x
    x = 16,002.25/107
  6. Step 6: Final answer
    x = 149.55

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.