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Finding the Third Proportional to 134,125.88 and 188,004.38

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Solution

The third proportional to 134,125.88 and 188,004.38 is: 263,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,125.88 : 188,004.38 = 188,004.38 : x
  2. Step 2: Convert to fraction form
    134,125.88/188,004.38 = 188,004.38/x
  3. Step 3: Cross multiply
    134,125.88x = 188,004.38 × 188,004.38
  4. Step 4: Simplify right side
    134,125.88x = 35,345,645,019.14
  5. Step 5: Solve for x
    x = 35,345,645,019.14/134,125.88
  6. Step 6: Final answer
    x = 263,525.92

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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.