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Finding the Third Proportional to 52.03 and 120.46

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Solution

The third proportional to 52.03 and 120.46 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 120.46 = 120.46 : x
  2. Step 2: Convert to fraction form
    52.03/120.46 = 120.46/x
  3. Step 3: Cross multiply
    52.03x = 120.46 × 120.46
  4. Step 4: Simplify right side
    52.03x = 14,511.04
  5. Step 5: Solve for x
    x = 14,511.04/52.03
  6. Step 6: Final answer
    x = 278.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.