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Finding the Third Proportional to 134,138 and 188,006

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Solution

The third proportional to 134,138 and 188,006 is: 263,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138 : 188,006 = 188,006 : x
  2. Step 2: Convert to fraction form
    134,138/188,006 = 188,006/x
  3. Step 3: Cross multiply
    134,138x = 188,006 × 188,006
  4. Step 4: Simplify right side
    134,138x = 35,346,256,036
  5. Step 5: Solve for x
    x = 35,346,256,036/134,138
  6. Step 6: Final answer
    x = 263,506.66

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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.