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Finding the Third Proportional to 95,596 and 151,831

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Solution

The third proportional to 95,596 and 151,831 is: 241,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,596 : 151,831 = 151,831 : x
  2. Step 2: Convert to fraction form
    95,596/151,831 = 151,831/x
  3. Step 3: Cross multiply
    95,596x = 151,831 × 151,831
  4. Step 4: Simplify right side
    95,596x = 23,052,652,561
  5. Step 5: Solve for x
    x = 23,052,652,561/95,596
  6. Step 6: Final answer
    x = 241,146.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.