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Finding the Third Proportional to 131,603 and 188,197.50

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Solution

The third proportional to 131,603 and 188,197.50 is: 269,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,603 : 188,197.50 = 188,197.50 : x
  2. Step 2: Convert to fraction form
    131,603/188,197.50 = 188,197.50/x
  3. Step 3: Cross multiply
    131,603x = 188,197.50 × 188,197.50
  4. Step 4: Simplify right side
    131,603x = 35,418,299,006.25
  5. Step 5: Solve for x
    x = 35,418,299,006.25/131,603
  6. Step 6: Final answer
    x = 269,129.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.