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Finding the Third Proportional to 124,048.13 and 271,736.44

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Solution

The third proportional to 124,048.13 and 271,736.44 is: 595,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,048.13 : 271,736.44 = 271,736.44 : x
  2. Step 2: Convert to fraction form
    124,048.13/271,736.44 = 271,736.44/x
  3. Step 3: Cross multiply
    124,048.13x = 271,736.44 × 271,736.44
  4. Step 4: Simplify right side
    124,048.13x = 73,840,691,465.19
  5. Step 5: Solve for x
    x = 73,840,691,465.19/124,048.13
  6. Step 6: Final answer
    x = 595,258.42

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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.