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Finding the Third Proportional to 123,861.66 and 271,347.47

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Solution

The third proportional to 123,861.66 and 271,347.47 is: 594,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,861.66 : 271,347.47 = 271,347.47 : x
  2. Step 2: Convert to fraction form
    123,861.66/271,347.47 = 271,347.47/x
  3. Step 3: Cross multiply
    123,861.66x = 271,347.47 × 271,347.47
  4. Step 4: Simplify right side
    123,861.66x = 73,629,448,797.03
  5. Step 5: Solve for x
    x = 73,629,448,797.03/123,861.66
  6. Step 6: Final answer
    x = 594,449.09

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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.