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Finding the Third Proportional to 54,561.09 and 118,462.50

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Solution

The third proportional to 54,561.09 and 118,462.50 is: 257,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,561.09 : 118,462.50 = 118,462.50 : x
  2. Step 2: Convert to fraction form
    54,561.09/118,462.50 = 118,462.50/x
  3. Step 3: Cross multiply
    54,561.09x = 118,462.50 × 118,462.50
  4. Step 4: Simplify right side
    54,561.09x = 14,033,363,906.25
  5. Step 5: Solve for x
    x = 14,033,363,906.25/54,561.09
  6. Step 6: Final answer
    x = 257,204.59

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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.