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Finding the Third Proportional to 98,959.50 and 201,375

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Solution

The third proportional to 98,959.50 and 201,375 is: 409,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,959.50 : 201,375 = 201,375 : x
  2. Step 2: Convert to fraction form
    98,959.50/201,375 = 201,375/x
  3. Step 3: Cross multiply
    98,959.50x = 201,375 × 201,375
  4. Step 4: Simplify right side
    98,959.50x = 40,551,890,625
  5. Step 5: Solve for x
    x = 40,551,890,625/98,959.50
  6. Step 6: Final answer
    x = 409,782.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.