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Finding the Third Proportional to 134,142.75 and 188,013

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Solution

The third proportional to 134,142.75 and 188,013 is: 263,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142.75 : 188,013 = 188,013 : x
  2. Step 2: Convert to fraction form
    134,142.75/188,013 = 188,013/x
  3. Step 3: Cross multiply
    134,142.75x = 188,013 × 188,013
  4. Step 4: Simplify right side
    134,142.75x = 35,348,888,169
  5. Step 5: Solve for x
    x = 35,348,888,169/134,142.75
  6. Step 6: Final answer
    x = 263,516.95

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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.