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Finding the Third Proportional to 58,126 and 123,227

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Solution

The third proportional to 58,126 and 123,227 is: 261,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,126 : 123,227 = 123,227 : x
  2. Step 2: Convert to fraction form
    58,126/123,227 = 123,227/x
  3. Step 3: Cross multiply
    58,126x = 123,227 × 123,227
  4. Step 4: Simplify right side
    58,126x = 15,184,893,529
  5. Step 5: Solve for x
    x = 15,184,893,529/58,126
  6. Step 6: Final answer
    x = 261,240.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.