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Finding the Third Proportional to 103,723 and 159,350

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Solution

The third proportional to 103,723 and 159,350 is: 244,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,723 : 159,350 = 159,350 : x
  2. Step 2: Convert to fraction form
    103,723/159,350 = 159,350/x
  3. Step 3: Cross multiply
    103,723x = 159,350 × 159,350
  4. Step 4: Simplify right side
    103,723x = 25,392,422,500
  5. Step 5: Solve for x
    x = 25,392,422,500/103,723
  6. Step 6: Final answer
    x = 244,809.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.