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Finding the Third Proportional to 124,082 and 271,796

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Solution

The third proportional to 124,082 and 271,796 is: 595,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,082 : 271,796 = 271,796 : x
  2. Step 2: Convert to fraction form
    124,082/271,796 = 271,796/x
  3. Step 3: Cross multiply
    124,082x = 271,796 × 271,796
  4. Step 4: Simplify right side
    124,082x = 73,873,065,616
  5. Step 5: Solve for x
    x = 73,873,065,616/124,082
  6. Step 6: Final answer
    x = 595,356.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.