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Finding the Third Proportional to 95,979 and 149,404.50

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Solution

The third proportional to 95,979 and 149,404.50 is: 232,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,979 : 149,404.50 = 149,404.50 : x
  2. Step 2: Convert to fraction form
    95,979/149,404.50 = 149,404.50/x
  3. Step 3: Cross multiply
    95,979x = 149,404.50 × 149,404.50
  4. Step 4: Simplify right side
    95,979x = 22,321,704,620.25
  5. Step 5: Solve for x
    x = 22,321,704,620.25/95,979
  6. Step 6: Final answer
    x = 232,568.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.