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Finding the Third Proportional to 134,110 and 187,941

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Solution

The third proportional to 134,110 and 187,941 is: 263,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,110 : 187,941 = 187,941 : x
  2. Step 2: Convert to fraction form
    134,110/187,941 = 187,941/x
  3. Step 3: Cross multiply
    134,110x = 187,941 × 187,941
  4. Step 4: Simplify right side
    134,110x = 35,321,819,481
  5. Step 5: Solve for x
    x = 35,321,819,481/134,110
  6. Step 6: Final answer
    x = 263,379.46

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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.