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Finding the Third Proportional to 103,652 and 219,759

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Solution

The third proportional to 103,652 and 219,759 is: 465,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652 : 219,759 = 219,759 : x
  2. Step 2: Convert to fraction form
    103,652/219,759 = 219,759/x
  3. Step 3: Cross multiply
    103,652x = 219,759 × 219,759
  4. Step 4: Simplify right side
    103,652x = 48,294,018,081
  5. Step 5: Solve for x
    x = 48,294,018,081/103,652
  6. Step 6: Final answer
    x = 465,924.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.