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Finding the Third Proportional to 54,342.56 and 118,338.75

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Solution

The third proportional to 54,342.56 and 118,338.75 is: 257,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342.56 : 118,338.75 = 118,338.75 : x
  2. Step 2: Convert to fraction form
    54,342.56/118,338.75 = 118,338.75/x
  3. Step 3: Cross multiply
    54,342.56x = 118,338.75 × 118,338.75
  4. Step 4: Simplify right side
    54,342.56x = 14,004,059,751.56
  5. Step 5: Solve for x
    x = 14,004,059,751.56/54,342.56
  6. Step 6: Final answer
    x = 257,699.66

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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.