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Finding the Third Proportional to 124,781 and 270,580

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Solution

The third proportional to 124,781 and 270,580 is: 586,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,781 : 270,580 = 270,580 : x
  2. Step 2: Convert to fraction form
    124,781/270,580 = 270,580/x
  3. Step 3: Cross multiply
    124,781x = 270,580 × 270,580
  4. Step 4: Simplify right side
    124,781x = 73,213,536,400
  5. Step 5: Solve for x
    x = 73,213,536,400/124,781
  6. Step 6: Final answer
    x = 586,736.25

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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.