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Finding the Third Proportional to 78,065.44 and 123,491.81

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Solution

The third proportional to 78,065.44 and 123,491.81 is: 195,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.44 : 123,491.81 = 123,491.81 : x
  2. Step 2: Convert to fraction form
    78,065.44/123,491.81 = 123,491.81/x
  3. Step 3: Cross multiply
    78,065.44x = 123,491.81 × 123,491.81
  4. Step 4: Simplify right side
    78,065.44x = 15,250,227,754.54
  5. Step 5: Solve for x
    x = 15,250,227,754.54/78,065.44
  6. Step 6: Final answer
    x = 195,351.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.