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Finding the Third Proportional to 96,650.50 and 144,525.75

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Solution

The third proportional to 96,650.50 and 144,525.75 is: 216,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,650.50 : 144,525.75 = 144,525.75 : x
  2. Step 2: Convert to fraction form
    96,650.50/144,525.75 = 144,525.75/x
  3. Step 3: Cross multiply
    96,650.50x = 144,525.75 × 144,525.75
  4. Step 4: Simplify right side
    96,650.50x = 20,887,692,413.06
  5. Step 5: Solve for x
    x = 20,887,692,413.06/96,650.50
  6. Step 6: Final answer
    x = 216,115.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.