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Finding the Third Proportional to 124,542 and 270,028

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Solution

The third proportional to 124,542 and 270,028 is: 585,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542 : 270,028 = 270,028 : x
  2. Step 2: Convert to fraction form
    124,542/270,028 = 270,028/x
  3. Step 3: Cross multiply
    124,542x = 270,028 × 270,028
  4. Step 4: Simplify right side
    124,542x = 72,915,120,784
  5. Step 5: Solve for x
    x = 72,915,120,784/124,542
  6. Step 6: Final answer
    x = 585,466.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.