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Finding the Third Proportional to 91,738.75 and 151,830.75

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Solution

The third proportional to 91,738.75 and 151,830.75 is: 251,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738.75 : 151,830.75 = 151,830.75 : x
  2. Step 2: Convert to fraction form
    91,738.75/151,830.75 = 151,830.75/x
  3. Step 3: Cross multiply
    91,738.75x = 151,830.75 × 151,830.75
  4. Step 4: Simplify right side
    91,738.75x = 23,052,576,645.56
  5. Step 5: Solve for x
    x = 23,052,576,645.56/91,738.75
  6. Step 6: Final answer
    x = 251,285.05

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.