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Finding the Third Proportional to 64,622.81 and 96,546.94

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Solution

The third proportional to 64,622.81 and 96,546.94 is: 144,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622.81 : 96,546.94 = 96,546.94 : x
  2. Step 2: Convert to fraction form
    64,622.81/96,546.94 = 96,546.94/x
  3. Step 3: Cross multiply
    64,622.81x = 96,546.94 × 96,546.94
  4. Step 4: Simplify right side
    64,622.81x = 9,321,311,140.63
  5. Step 5: Solve for x
    x = 9,321,311,140.63/64,622.81
  6. Step 6: Final answer
    x = 144,241.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.