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Finding the Third Proportional to 54,111.75 and 115,999.50

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Solution

The third proportional to 54,111.75 and 115,999.50 is: 248,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,111.75 : 115,999.50 = 115,999.50 : x
  2. Step 2: Convert to fraction form
    54,111.75/115,999.50 = 115,999.50/x
  3. Step 3: Cross multiply
    54,111.75x = 115,999.50 × 115,999.50
  4. Step 4: Simplify right side
    54,111.75x = 13,455,884,000.25
  5. Step 5: Solve for x
    x = 13,455,884,000.25/54,111.75
  6. Step 6: Final answer
    x = 248,668.43

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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.