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Finding the Third Proportional to 54,158 and 120,768

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Solution

The third proportional to 54,158 and 120,768 is: 269,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,158 : 120,768 = 120,768 : x
  2. Step 2: Convert to fraction form
    54,158/120,768 = 120,768/x
  3. Step 3: Cross multiply
    54,158x = 120,768 × 120,768
  4. Step 4: Simplify right side
    54,158x = 14,584,909,824
  5. Step 5: Solve for x
    x = 14,584,909,824/54,158
  6. Step 6: Final answer
    x = 269,302.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.