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Finding the Third Proportional to 51.88 and 112.63

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Solution

The third proportional to 51.88 and 112.63 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 112.63 = 112.63 : x
  2. Step 2: Convert to fraction form
    51.88/112.63 = 112.63/x
  3. Step 3: Cross multiply
    51.88x = 112.63 × 112.63
  4. Step 4: Simplify right side
    51.88x = 12,684.39
  5. Step 5: Solve for x
    x = 12,684.39/51.88
  6. Step 6: Final answer
    x = 244.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.