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Finding the Third Proportional to 54,499.50 and 127,365.75

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Solution

The third proportional to 54,499.50 and 127,365.75 is: 297,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.50 : 127,365.75 = 127,365.75 : x
  2. Step 2: Convert to fraction form
    54,499.50/127,365.75 = 127,365.75/x
  3. Step 3: Cross multiply
    54,499.50x = 127,365.75 × 127,365.75
  4. Step 4: Simplify right side
    54,499.50x = 16,222,034,273.06
  5. Step 5: Solve for x
    x = 16,222,034,273.06/54,499.50
  6. Step 6: Final answer
    x = 297,654.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.