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Finding the Third Proportional to 54,757.50 and 118,809.38

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Solution

The third proportional to 54,757.50 and 118,809.38 is: 257,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757.50 : 118,809.38 = 118,809.38 : x
  2. Step 2: Convert to fraction form
    54,757.50/118,809.38 = 118,809.38/x
  3. Step 3: Cross multiply
    54,757.50x = 118,809.38 × 118,809.38
  4. Step 4: Simplify right side
    54,757.50x = 14,115,667,587.89
  5. Step 5: Solve for x
    x = 14,115,667,587.89/54,757.50
  6. Step 6: Final answer
    x = 257,785.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.