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Finding the Third Proportional to 57.09 and 122.63

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Solution

The third proportional to 57.09 and 122.63 is: 263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.09 : 122.63 = 122.63 : x
  2. Step 2: Convert to fraction form
    57.09/122.63 = 122.63/x
  3. Step 3: Cross multiply
    57.09x = 122.63 × 122.63
  4. Step 4: Simplify right side
    57.09x = 15,036.89
  5. Step 5: Solve for x
    x = 15,036.89/57.09
  6. Step 6: Final answer
    x = 263.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.