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Finding the Third Proportional to 69,295.50 and 96,545.25

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Solution

The third proportional to 69,295.50 and 96,545.25 is: 134,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,295.50 : 96,545.25 = 96,545.25 : x
  2. Step 2: Convert to fraction form
    69,295.50/96,545.25 = 96,545.25/x
  3. Step 3: Cross multiply
    69,295.50x = 96,545.25 × 96,545.25
  4. Step 4: Simplify right side
    69,295.50x = 9,320,985,297.56
  5. Step 5: Solve for x
    x = 9,320,985,297.56/69,295.50
  6. Step 6: Final answer
    x = 134,510.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.