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Finding the Third Proportional to 65,245.50 and 98,035.31

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Solution

The third proportional to 65,245.50 and 98,035.31 is: 147,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.50 : 98,035.31 = 98,035.31 : x
  2. Step 2: Convert to fraction form
    65,245.50/98,035.31 = 98,035.31/x
  3. Step 3: Cross multiply
    65,245.50x = 98,035.31 × 98,035.31
  4. Step 4: Simplify right side
    65,245.50x = 9,610,922,496.97
  5. Step 5: Solve for x
    x = 9,610,922,496.97/65,245.50
  6. Step 6: Final answer
    x = 147,303.99

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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.