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Finding the Third Proportional to 54,073.50 and 115,618.50

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Solution

The third proportional to 54,073.50 and 115,618.50 is: 247,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,073.50 : 115,618.50 = 115,618.50 : x
  2. Step 2: Convert to fraction form
    54,073.50/115,618.50 = 115,618.50/x
  3. Step 3: Cross multiply
    54,073.50x = 115,618.50 × 115,618.50
  4. Step 4: Simplify right side
    54,073.50x = 13,367,637,542.25
  5. Step 5: Solve for x
    x = 13,367,637,542.25/54,073.50
  6. Step 6: Final answer
    x = 247,212.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.