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Finding the Third Proportional to 47,092 and 108,928

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Solution

The third proportional to 47,092 and 108,928 is: 251,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,092 : 108,928 = 108,928 : x
  2. Step 2: Convert to fraction form
    47,092/108,928 = 108,928/x
  3. Step 3: Cross multiply
    47,092x = 108,928 × 108,928
  4. Step 4: Simplify right side
    47,092x = 11,865,309,184
  5. Step 5: Solve for x
    x = 11,865,309,184/47,092
  6. Step 6: Final answer
    x = 251,960.19

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.