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Finding the Third Proportional to 54,678.75 and 113,720.25

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Solution

The third proportional to 54,678.75 and 113,720.25 is: 236,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678.75 : 113,720.25 = 113,720.25 : x
  2. Step 2: Convert to fraction form
    54,678.75/113,720.25 = 113,720.25/x
  3. Step 3: Cross multiply
    54,678.75x = 113,720.25 × 113,720.25
  4. Step 4: Simplify right side
    54,678.75x = 12,932,295,260.06
  5. Step 5: Solve for x
    x = 12,932,295,260.06/54,678.75
  6. Step 6: Final answer
    x = 236,514.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.