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Finding the Third Proportional to 76.50 and 106.06

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Solution

The third proportional to 76.50 and 106.06 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 106.06 = 106.06 : x
  2. Step 2: Convert to fraction form
    76.50/106.06 = 106.06/x
  3. Step 3: Cross multiply
    76.50x = 106.06 × 106.06
  4. Step 4: Simplify right side
    76.50x = 11,249.25
  5. Step 5: Solve for x
    x = 11,249.25/76.50
  6. Step 6: Final answer
    x = 147.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.