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Finding the Third Proportional to 62,296.31 and 96,643.69

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Solution

The third proportional to 62,296.31 and 96,643.69 is: 149,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,296.31 : 96,643.69 = 96,643.69 : x
  2. Step 2: Convert to fraction form
    62,296.31/96,643.69 = 96,643.69/x
  3. Step 3: Cross multiply
    62,296.31x = 96,643.69 × 96,643.69
  4. Step 4: Simplify right side
    62,296.31x = 9,340,002,333.60
  5. Step 5: Solve for x
    x = 9,340,002,333.60/62,296.31
  6. Step 6: Final answer
    x = 149,928.65

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