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Finding the Third Proportional to 55,221.75 and 117,984.09

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Solution

The third proportional to 55,221.75 and 117,984.09 is: 252,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.75 : 117,984.09 = 117,984.09 : x
  2. Step 2: Convert to fraction form
    55,221.75/117,984.09 = 117,984.09/x
  3. Step 3: Cross multiply
    55,221.75x = 117,984.09 × 117,984.09
  4. Step 4: Simplify right side
    55,221.75x = 13,920,246,378.01
  5. Step 5: Solve for x
    x = 13,920,246,378.01/55,221.75
  6. Step 6: Final answer
    x = 252,079.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.