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Finding the Third Proportional to 52.25 and 79.76

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Solution

The third proportional to 52.25 and 79.76 is: 121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.25 : 79.76 = 79.76 : x
  2. Step 2: Convert to fraction form
    52.25/79.76 = 79.76/x
  3. Step 3: Cross multiply
    52.25x = 79.76 × 79.76
  4. Step 4: Simplify right side
    52.25x = 6,362.24
  5. Step 5: Solve for x
    x = 6,362.24/52.25
  6. Step 6: Final answer
    x = 121.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.