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Finding the Third Proportional to 131,163.50 and 202,543.75

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Solution

The third proportional to 131,163.50 and 202,543.75 is: 312,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,163.50 : 202,543.75 = 202,543.75 : x
  2. Step 2: Convert to fraction form
    131,163.50/202,543.75 = 202,543.75/x
  3. Step 3: Cross multiply
    131,163.50x = 202,543.75 × 202,543.75
  4. Step 4: Simplify right side
    131,163.50x = 41,023,970,664.06
  5. Step 5: Solve for x
    x = 41,023,970,664.06/131,163.50
  6. Step 6: Final answer
    x = 312,769.72

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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.