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Finding the Third Proportional to 47.86 and 122.93

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Solution

The third proportional to 47.86 and 122.93 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.86 : 122.93 = 122.93 : x
  2. Step 2: Convert to fraction form
    47.86/122.93 = 122.93/x
  3. Step 3: Cross multiply
    47.86x = 122.93 × 122.93
  4. Step 4: Simplify right side
    47.86x = 15,111.89
  5. Step 5: Solve for x
    x = 15,111.89/47.86
  6. Step 6: Final answer
    x = 315.76

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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.