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Finding the Third Proportional to 51.47 and 135.14

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Solution

The third proportional to 51.47 and 135.14 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 135.14 = 135.14 : x
  2. Step 2: Convert to fraction form
    51.47/135.14 = 135.14/x
  3. Step 3: Cross multiply
    51.47x = 135.14 × 135.14
  4. Step 4: Simplify right side
    51.47x = 18,262.99
  5. Step 5: Solve for x
    x = 18,262.99/51.47
  6. Step 6: Final answer
    x = 354.84

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.