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Finding the Third Proportional to 57,519.63 and 123,035.75

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Solution

The third proportional to 57,519.63 and 123,035.75 is: 263,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519.63 : 123,035.75 = 123,035.75 : x
  2. Step 2: Convert to fraction form
    57,519.63/123,035.75 = 123,035.75/x
  3. Step 3: Cross multiply
    57,519.63x = 123,035.75 × 123,035.75
  4. Step 4: Simplify right side
    57,519.63x = 15,137,795,778.06
  5. Step 5: Solve for x
    x = 15,137,795,778.06/57,519.63
  6. Step 6: Final answer
    x = 263,176.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.