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Finding the Third Proportional to 51.66 and 112.53

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Solution

The third proportional to 51.66 and 112.53 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 112.53 = 112.53 : x
  2. Step 2: Convert to fraction form
    51.66/112.53 = 112.53/x
  3. Step 3: Cross multiply
    51.66x = 112.53 × 112.53
  4. Step 4: Simplify right side
    51.66x = 12,662.31
  5. Step 5: Solve for x
    x = 12,662.31/51.66
  6. Step 6: Final answer
    x = 245.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.