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Finding the Third Proportional to 54,644 and 120,127

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Solution

The third proportional to 54,644 and 120,127 is: 264,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,644 : 120,127 = 120,127 : x
  2. Step 2: Convert to fraction form
    54,644/120,127 = 120,127/x
  3. Step 3: Cross multiply
    54,644x = 120,127 × 120,127
  4. Step 4: Simplify right side
    54,644x = 14,430,496,129
  5. Step 5: Solve for x
    x = 14,430,496,129/54,644
  6. Step 6: Final answer
    x = 264,081.99

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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.