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Finding the Third Proportional to 134,121 and 187,958

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Solution

The third proportional to 134,121 and 187,958 is: 263,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,121 : 187,958 = 187,958 : x
  2. Step 2: Convert to fraction form
    134,121/187,958 = 187,958/x
  3. Step 3: Cross multiply
    134,121x = 187,958 × 187,958
  4. Step 4: Simplify right side
    134,121x = 35,328,209,764
  5. Step 5: Solve for x
    x = 35,328,209,764/134,121
  6. Step 6: Final answer
    x = 263,405.51

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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.