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Finding the Third Proportional to 97,550 and 150,375

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Solution

The third proportional to 97,550 and 150,375 is: 231,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,550 : 150,375 = 150,375 : x
  2. Step 2: Convert to fraction form
    97,550/150,375 = 150,375/x
  3. Step 3: Cross multiply
    97,550x = 150,375 × 150,375
  4. Step 4: Simplify right side
    97,550x = 22,612,640,625
  5. Step 5: Solve for x
    x = 22,612,640,625/97,550
  6. Step 6: Final answer
    x = 231,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.