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Finding the Third Proportional to 123,859.13 and 274,924.13

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Solution

The third proportional to 123,859.13 and 274,924.13 is: 610,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,859.13 : 274,924.13 = 274,924.13 : x
  2. Step 2: Convert to fraction form
    123,859.13/274,924.13 = 274,924.13/x
  3. Step 3: Cross multiply
    123,859.13x = 274,924.13 × 274,924.13
  4. Step 4: Simplify right side
    123,859.13x = 75,583,274,507.02
  5. Step 5: Solve for x
    x = 75,583,274,507.02/123,859.13
  6. Step 6: Final answer
    x = 610,235.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.