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Finding the Third Proportional to 54,695.75 and 119,514.25

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Solution

The third proportional to 54,695.75 and 119,514.25 is: 261,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,695.75 : 119,514.25 = 119,514.25 : x
  2. Step 2: Convert to fraction form
    54,695.75/119,514.25 = 119,514.25/x
  3. Step 3: Cross multiply
    54,695.75x = 119,514.25 × 119,514.25
  4. Step 4: Simplify right side
    54,695.75x = 14,283,655,953.06
  5. Step 5: Solve for x
    x = 14,283,655,953.06/54,695.75
  6. Step 6: Final answer
    x = 261,147.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.