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Finding the Third Proportional to 54,856 and 118,035

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Solution

The third proportional to 54,856 and 118,035 is: 253,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856 : 118,035 = 118,035 : x
  2. Step 2: Convert to fraction form
    54,856/118,035 = 118,035/x
  3. Step 3: Cross multiply
    54,856x = 118,035 × 118,035
  4. Step 4: Simplify right side
    54,856x = 13,932,261,225
  5. Step 5: Solve for x
    x = 13,932,261,225/54,856
  6. Step 6: Final answer
    x = 253,978.80

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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.