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Finding the Third Proportional to 101,295 and 188,133.75

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Solution

The third proportional to 101,295 and 188,133.75 is: 349,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,295 : 188,133.75 = 188,133.75 : x
  2. Step 2: Convert to fraction form
    101,295/188,133.75 = 188,133.75/x
  3. Step 3: Cross multiply
    101,295x = 188,133.75 × 188,133.75
  4. Step 4: Simplify right side
    101,295x = 35,394,307,889.06
  5. Step 5: Solve for x
    x = 35,394,307,889.06/101,295
  6. Step 6: Final answer
    x = 349,418.11

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.