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Finding the Third Proportional to 73,019 and 110,895

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Solution

The third proportional to 73,019 and 110,895 is: 168,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,019 : 110,895 = 110,895 : x
  2. Step 2: Convert to fraction form
    73,019/110,895 = 110,895/x
  3. Step 3: Cross multiply
    73,019x = 110,895 × 110,895
  4. Step 4: Simplify right side
    73,019x = 12,297,701,025
  5. Step 5: Solve for x
    x = 12,297,701,025/73,019
  6. Step 6: Final answer
    x = 168,417.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.