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Finding the Third Proportional to 74,837.25 and 110,067.19

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Solution

The third proportional to 74,837.25 and 110,067.19 is: 161,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,837.25 : 110,067.19 = 110,067.19 : x
  2. Step 2: Convert to fraction form
    74,837.25/110,067.19 = 110,067.19/x
  3. Step 3: Cross multiply
    74,837.25x = 110,067.19 × 110,067.19
  4. Step 4: Simplify right side
    74,837.25x = 12,114,785,764.16
  5. Step 5: Solve for x
    x = 12,114,785,764.16/74,837.25
  6. Step 6: Final answer
    x = 161,881.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.