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Finding the Third Proportional to 88,744 and 193,037

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Solution

The third proportional to 88,744 and 193,037 is: 419,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,744 : 193,037 = 193,037 : x
  2. Step 2: Convert to fraction form
    88,744/193,037 = 193,037/x
  3. Step 3: Cross multiply
    88,744x = 193,037 × 193,037
  4. Step 4: Simplify right side
    88,744x = 37,263,283,369
  5. Step 5: Solve for x
    x = 37,263,283,369/88,744
  6. Step 6: Final answer
    x = 419,896.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.