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Finding the Third Proportional to 54,784.69 and 83,195.44

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Solution

The third proportional to 54,784.69 and 83,195.44 is: 126,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.69 : 83,195.44 = 83,195.44 : x
  2. Step 2: Convert to fraction form
    54,784.69/83,195.44 = 83,195.44/x
  3. Step 3: Cross multiply
    54,784.69x = 83,195.44 × 83,195.44
  4. Step 4: Simplify right side
    54,784.69x = 6,921,480,820.82
  5. Step 5: Solve for x
    x = 6,921,480,820.82/54,784.69
  6. Step 6: Final answer
    x = 126,339.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.