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Finding the Third Proportional to 53,615.25 and 108,722.25

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Solution

The third proportional to 53,615.25 and 108,722.25 is: 220,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.25 : 108,722.25 = 108,722.25 : x
  2. Step 2: Convert to fraction form
    53,615.25/108,722.25 = 108,722.25/x
  3. Step 3: Cross multiply
    53,615.25x = 108,722.25 × 108,722.25
  4. Step 4: Simplify right side
    53,615.25x = 11,820,527,645.06
  5. Step 5: Solve for x
    x = 11,820,527,645.06/53,615.25
  6. Step 6: Final answer
    x = 220,469.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.