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Finding the Third Proportional to 133,082 and 272,373

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Solution

The third proportional to 133,082 and 272,373 is: 557,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 272,373 = 272,373 : x
  2. Step 2: Convert to fraction form
    133,082/272,373 = 272,373/x
  3. Step 3: Cross multiply
    133,082x = 272,373 × 272,373
  4. Step 4: Simplify right side
    133,082x = 74,187,051,129
  5. Step 5: Solve for x
    x = 74,187,051,129/133,082
  6. Step 6: Final answer
    x = 557,453.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.