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Finding the Third Proportional to 54,151.03 and 117,323.44

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Solution

The third proportional to 54,151.03 and 117,323.44 is: 254,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,151.03 : 117,323.44 = 117,323.44 : x
  2. Step 2: Convert to fraction form
    54,151.03/117,323.44 = 117,323.44/x
  3. Step 3: Cross multiply
    54,151.03x = 117,323.44 × 117,323.44
  4. Step 4: Simplify right side
    54,151.03x = 13,764,788,986.82
  5. Step 5: Solve for x
    x = 13,764,788,986.82/54,151.03
  6. Step 6: Final answer
    x = 254,192.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.