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Finding the Third Proportional to 137,756.25 and 201,917.25

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Solution

The third proportional to 137,756.25 and 201,917.25 is: 295,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,756.25 : 201,917.25 = 201,917.25 : x
  2. Step 2: Convert to fraction form
    137,756.25/201,917.25 = 201,917.25/x
  3. Step 3: Cross multiply
    137,756.25x = 201,917.25 × 201,917.25
  4. Step 4: Simplify right side
    137,756.25x = 40,770,575,847.56
  5. Step 5: Solve for x
    x = 40,770,575,847.56/137,756.25
  6. Step 6: Final answer
    x = 295,961.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.