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Finding the Third Proportional to 75,744 and 112,144

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Solution

The third proportional to 75,744 and 112,144 is: 166,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744 : 112,144 = 112,144 : x
  2. Step 2: Convert to fraction form
    75,744/112,144 = 112,144/x
  3. Step 3: Cross multiply
    75,744x = 112,144 × 112,144
  4. Step 4: Simplify right side
    75,744x = 12,576,276,736
  5. Step 5: Solve for x
    x = 12,576,276,736/75,744
  6. Step 6: Final answer
    x = 166,036.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.