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Finding the Third Proportional to 55,100.25 and 119,221.88

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Solution

The third proportional to 55,100.25 and 119,221.88 is: 257,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100.25 : 119,221.88 = 119,221.88 : x
  2. Step 2: Convert to fraction form
    55,100.25/119,221.88 = 119,221.88/x
  3. Step 3: Cross multiply
    55,100.25x = 119,221.88 × 119,221.88
  4. Step 4: Simplify right side
    55,100.25x = 14,213,855,478.52
  5. Step 5: Solve for x
    x = 14,213,855,478.52/55,100.25
  6. Step 6: Final answer
    x = 257,963.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.