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Finding the Third Proportional to 40,719 and 89,610

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Solution

The third proportional to 40,719 and 89,610 is: 197,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,719 : 89,610 = 89,610 : x
  2. Step 2: Convert to fraction form
    40,719/89,610 = 89,610/x
  3. Step 3: Cross multiply
    40,719x = 89,610 × 89,610
  4. Step 4: Simplify right side
    40,719x = 8,029,952,100
  5. Step 5: Solve for x
    x = 8,029,952,100/40,719
  6. Step 6: Final answer
    x = 197,204.06

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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.