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Finding the Third Proportional to 134,238 and 188,133

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Solution

The third proportional to 134,238 and 188,133 is: 263,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,238 : 188,133 = 188,133 : x
  2. Step 2: Convert to fraction form
    134,238/188,133 = 188,133/x
  3. Step 3: Cross multiply
    134,238x = 188,133 × 188,133
  4. Step 4: Simplify right side
    134,238x = 35,394,025,689
  5. Step 5: Solve for x
    x = 35,394,025,689/134,238
  6. Step 6: Final answer
    x = 263,666.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.