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Finding the Third Proportional to 77.35 and 115.64

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Solution

The third proportional to 77.35 and 115.64 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 115.64 = 115.64 : x
  2. Step 2: Convert to fraction form
    77.35/115.64 = 115.64/x
  3. Step 3: Cross multiply
    77.35x = 115.64 × 115.64
  4. Step 4: Simplify right side
    77.35x = 13,371.82
  5. Step 5: Solve for x
    x = 13,371.82/77.35
  6. Step 6: Final answer
    x = 172.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.