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Finding the Third Proportional to 65,750.06 and 96,163.88

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Solution

The third proportional to 65,750.06 and 96,163.88 is: 140,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750.06 : 96,163.88 = 96,163.88 : x
  2. Step 2: Convert to fraction form
    65,750.06/96,163.88 = 96,163.88/x
  3. Step 3: Cross multiply
    65,750.06x = 96,163.88 × 96,163.88
  4. Step 4: Simplify right side
    65,750.06x = 9,247,490,855.02
  5. Step 5: Solve for x
    x = 9,247,490,855.02/65,750.06
  6. Step 6: Final answer
    x = 140,646.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.