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Finding the Third Proportional to 57,165.75 and 151,738.31

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Solution

The third proportional to 57,165.75 and 151,738.31 is: 402,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.75 : 151,738.31 = 151,738.31 : x
  2. Step 2: Convert to fraction form
    57,165.75/151,738.31 = 151,738.31/x
  3. Step 3: Cross multiply
    57,165.75x = 151,738.31 × 151,738.31
  4. Step 4: Simplify right side
    57,165.75x = 23,024,515,480.35
  5. Step 5: Solve for x
    x = 23,024,515,480.35/57,165.75
  6. Step 6: Final answer
    x = 402,767.66

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.