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Finding the Third Proportional to 54,291.94 and 120,202.31

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Solution

The third proportional to 54,291.94 and 120,202.31 is: 266,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,291.94 : 120,202.31 = 120,202.31 : x
  2. Step 2: Convert to fraction form
    54,291.94/120,202.31 = 120,202.31/x
  3. Step 3: Cross multiply
    54,291.94x = 120,202.31 × 120,202.31
  4. Step 4: Simplify right side
    54,291.94x = 14,448,595,930.35
  5. Step 5: Solve for x
    x = 14,448,595,930.35/54,291.94
  6. Step 6: Final answer
    x = 266,127.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.