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Finding the Third Proportional to 54,902 and 118,126

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Solution

The third proportional to 54,902 and 118,126 is: 254,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902 : 118,126 = 118,126 : x
  2. Step 2: Convert to fraction form
    54,902/118,126 = 118,126/x
  3. Step 3: Cross multiply
    54,902x = 118,126 × 118,126
  4. Step 4: Simplify right side
    54,902x = 13,953,751,876
  5. Step 5: Solve for x
    x = 13,953,751,876/54,902
  6. Step 6: Final answer
    x = 254,157.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.