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Finding the Third Proportional to 57,526 and 123,049

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Solution

The third proportional to 57,526 and 123,049 is: 263,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,526 : 123,049 = 123,049 : x
  2. Step 2: Convert to fraction form
    57,526/123,049 = 123,049/x
  3. Step 3: Cross multiply
    57,526x = 123,049 × 123,049
  4. Step 4: Simplify right side
    57,526x = 15,141,056,401
  5. Step 5: Solve for x
    x = 15,141,056,401/57,526
  6. Step 6: Final answer
    x = 263,203.71

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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.