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Finding the Third Proportional to 52 and 80.34

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Solution

The third proportional to 52 and 80.34 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 80.34 = 80.34 : x
  2. Step 2: Convert to fraction form
    52/80.34 = 80.34/x
  3. Step 3: Cross multiply
    52x = 80.34 × 80.34
  4. Step 4: Simplify right side
    52x = 6,455.12
  5. Step 5: Solve for x
    x = 6,455.12/52
  6. Step 6: Final answer
    x = 124.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.