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Finding the Third Proportional to 73,022.63 and 106,661.25

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Solution

The third proportional to 73,022.63 and 106,661.25 is: 155,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,022.63 : 106,661.25 = 106,661.25 : x
  2. Step 2: Convert to fraction form
    73,022.63/106,661.25 = 106,661.25/x
  3. Step 3: Cross multiply
    73,022.63x = 106,661.25 × 106,661.25
  4. Step 4: Simplify right side
    73,022.63x = 11,376,622,251.56
  5. Step 5: Solve for x
    x = 11,376,622,251.56/73,022.63
  6. Step 6: Final answer
    x = 155,795.85

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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.