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Finding the Third Proportional to 54,501 and 120,003

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Solution

The third proportional to 54,501 and 120,003 is: 264,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,501 : 120,003 = 120,003 : x
  2. Step 2: Convert to fraction form
    54,501/120,003 = 120,003/x
  3. Step 3: Cross multiply
    54,501x = 120,003 × 120,003
  4. Step 4: Simplify right side
    54,501x = 14,400,720,009
  5. Step 5: Solve for x
    x = 14,400,720,009/54,501
  6. Step 6: Final answer
    x = 264,228.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.