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Finding the Third Proportional to 73,067.50 and 110,083.50

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Solution

The third proportional to 73,067.50 and 110,083.50 is: 165,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,067.50 : 110,083.50 = 110,083.50 : x
  2. Step 2: Convert to fraction form
    73,067.50/110,083.50 = 110,083.50/x
  3. Step 3: Cross multiply
    73,067.50x = 110,083.50 × 110,083.50
  4. Step 4: Simplify right side
    73,067.50x = 12,118,376,972.25
  5. Step 5: Solve for x
    x = 12,118,376,972.25/73,067.50
  6. Step 6: Final answer
    x = 165,851.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.