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Finding the Third Proportional to 95,832 and 148,236.75

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Solution

The third proportional to 95,832 and 148,236.75 is: 229,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,832 : 148,236.75 = 148,236.75 : x
  2. Step 2: Convert to fraction form
    95,832/148,236.75 = 148,236.75/x
  3. Step 3: Cross multiply
    95,832x = 148,236.75 × 148,236.75
  4. Step 4: Simplify right side
    95,832x = 21,974,134,050.56
  5. Step 5: Solve for x
    x = 21,974,134,050.56/95,832
  6. Step 6: Final answer
    x = 229,298.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.