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Finding the Third Proportional to 124,857.94 and 275,165.25

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Solution

The third proportional to 124,857.94 and 275,165.25 is: 606,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,857.94 : 275,165.25 = 275,165.25 : x
  2. Step 2: Convert to fraction form
    124,857.94/275,165.25 = 275,165.25/x
  3. Step 3: Cross multiply
    124,857.94x = 275,165.25 × 275,165.25
  4. Step 4: Simplify right side
    124,857.94x = 75,715,914,807.56
  5. Step 5: Solve for x
    x = 75,715,914,807.56/124,857.94
  6. Step 6: Final answer
    x = 606,416.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.