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Finding the Third Proportional to 52.52 and 100.92

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Solution

The third proportional to 52.52 and 100.92 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.52 : 100.92 = 100.92 : x
  2. Step 2: Convert to fraction form
    52.52/100.92 = 100.92/x
  3. Step 3: Cross multiply
    52.52x = 100.92 × 100.92
  4. Step 4: Simplify right side
    52.52x = 10,185.22
  5. Step 5: Solve for x
    x = 10,185.22/52.52
  6. Step 6: Final answer
    x = 193.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.