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Finding the Third Proportional to 75,744 and 113,148

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Solution

The third proportional to 75,744 and 113,148 is: 169,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744 : 113,148 = 113,148 : x
  2. Step 2: Convert to fraction form
    75,744/113,148 = 113,148/x
  3. Step 3: Cross multiply
    75,744x = 113,148 × 113,148
  4. Step 4: Simplify right side
    75,744x = 12,802,469,904
  5. Step 5: Solve for x
    x = 12,802,469,904/75,744
  6. Step 6: Final answer
    x = 169,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.