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Finding the Third Proportional to 124,937 and 274,753

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Solution

The third proportional to 124,937 and 274,753 is: 604,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,937 : 274,753 = 274,753 : x
  2. Step 2: Convert to fraction form
    124,937/274,753 = 274,753/x
  3. Step 3: Cross multiply
    124,937x = 274,753 × 274,753
  4. Step 4: Simplify right side
    124,937x = 75,489,211,009
  5. Step 5: Solve for x
    x = 75,489,211,009/124,937
  6. Step 6: Final answer
    x = 604,218.21

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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.