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Finding the Third Proportional to 54,250 and 120,110

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Solution

The third proportional to 54,250 and 120,110 is: 265,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,250 : 120,110 = 120,110 : x
  2. Step 2: Convert to fraction form
    54,250/120,110 = 120,110/x
  3. Step 3: Cross multiply
    54,250x = 120,110 × 120,110
  4. Step 4: Simplify right side
    54,250x = 14,426,412,100
  5. Step 5: Solve for x
    x = 14,426,412,100/54,250
  6. Step 6: Final answer
    x = 265,924.65

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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.