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Finding the Third Proportional to 124,083 and 271,638

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Solution

The third proportional to 124,083 and 271,638 is: 594,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,083 : 271,638 = 271,638 : x
  2. Step 2: Convert to fraction form
    124,083/271,638 = 271,638/x
  3. Step 3: Cross multiply
    124,083x = 271,638 × 271,638
  4. Step 4: Simplify right side
    124,083x = 73,787,203,044
  5. Step 5: Solve for x
    x = 73,787,203,044/124,083
  6. Step 6: Final answer
    x = 594,660.05

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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.