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Finding the Third Proportional to 122.06 and 235.88

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Solution

The third proportional to 122.06 and 235.88 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 235.88 = 235.88 : x
  2. Step 2: Convert to fraction form
    122.06/235.88 = 235.88/x
  3. Step 3: Cross multiply
    122.06x = 235.88 × 235.88
  4. Step 4: Simplify right side
    122.06x = 55,637.02
  5. Step 5: Solve for x
    x = 55,637.02/122.06
  6. Step 6: Final answer
    x = 455.81

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.