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Finding the Third Proportional to 57,015.77 and 123,753.45

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Solution

The third proportional to 57,015.77 and 123,753.45 is: 268,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,015.77 : 123,753.45 = 123,753.45 : x
  2. Step 2: Convert to fraction form
    57,015.77/123,753.45 = 123,753.45/x
  3. Step 3: Cross multiply
    57,015.77x = 123,753.45 × 123,753.45
  4. Step 4: Simplify right side
    57,015.77x = 15,314,915,226.71
  5. Step 5: Solve for x
    x = 15,314,915,226.71/57,015.77
  6. Step 6: Final answer
    x = 268,608.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.