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Finding the Third Proportional to 56,896.17 and 123,172.52

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Solution

The third proportional to 56,896.17 and 123,172.52 is: 266,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,896.17 : 123,172.52 = 123,172.52 : x
  2. Step 2: Convert to fraction form
    56,896.17/123,172.52 = 123,172.52/x
  3. Step 3: Cross multiply
    56,896.17x = 123,172.52 × 123,172.52
  4. Step 4: Simplify right side
    56,896.17x = 15,171,470,529.96
  5. Step 5: Solve for x
    x = 15,171,470,529.96/56,896.17
  6. Step 6: Final answer
    x = 266,651.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.