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Finding the Third Proportional to 54,535.50 and 118,926

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Solution

The third proportional to 54,535.50 and 118,926 is: 259,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,535.50 : 118,926 = 118,926 : x
  2. Step 2: Convert to fraction form
    54,535.50/118,926 = 118,926/x
  3. Step 3: Cross multiply
    54,535.50x = 118,926 × 118,926
  4. Step 4: Simplify right side
    54,535.50x = 14,143,393,476
  5. Step 5: Solve for x
    x = 14,143,393,476/54,535.50
  6. Step 6: Final answer
    x = 259,342.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.