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Finding the Third Proportional to 55,115.44 and 118,978.88

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Solution

The third proportional to 55,115.44 and 118,978.88 is: 256,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,115.44 : 118,978.88 = 118,978.88 : x
  2. Step 2: Convert to fraction form
    55,115.44/118,978.88 = 118,978.88/x
  3. Step 3: Cross multiply
    55,115.44x = 118,978.88 × 118,978.88
  4. Step 4: Simplify right side
    55,115.44x = 14,155,972,696.27
  5. Step 5: Solve for x
    x = 14,155,972,696.27/55,115.44
  6. Step 6: Final answer
    x = 256,842.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.