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Finding the Third Proportional to 57,092 and 81,144

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Solution

The third proportional to 57,092 and 81,144 is: 115,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,092 : 81,144 = 81,144 : x
  2. Step 2: Convert to fraction form
    57,092/81,144 = 81,144/x
  3. Step 3: Cross multiply
    57,092x = 81,144 × 81,144
  4. Step 4: Simplify right side
    57,092x = 6,584,348,736
  5. Step 5: Solve for x
    x = 6,584,348,736/57,092
  6. Step 6: Final answer
    x = 115,328.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.