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Finding the Third Proportional to 77.06 and 113.06

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Solution

The third proportional to 77.06 and 113.06 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 113.06 = 113.06 : x
  2. Step 2: Convert to fraction form
    77.06/113.06 = 113.06/x
  3. Step 3: Cross multiply
    77.06x = 113.06 × 113.06
  4. Step 4: Simplify right side
    77.06x = 12,783.13
  5. Step 5: Solve for x
    x = 12,783.13/77.06
  6. Step 6: Final answer
    x = 165.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.