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Finding the Third Proportional to 27,719 and 60,973

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Solution

The third proportional to 27,719 and 60,973 is: 134,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719 : 60,973 = 60,973 : x
  2. Step 2: Convert to fraction form
    27,719/60,973 = 60,973/x
  3. Step 3: Cross multiply
    27,719x = 60,973 × 60,973
  4. Step 4: Simplify right side
    27,719x = 3,717,706,729
  5. Step 5: Solve for x
    x = 3,717,706,729/27,719
  6. Step 6: Final answer
    x = 134,121.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.