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Finding the Third Proportional to 54,058 and 80,870

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Solution

The third proportional to 54,058 and 80,870 is: 120,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,058 : 80,870 = 80,870 : x
  2. Step 2: Convert to fraction form
    54,058/80,870 = 80,870/x
  3. Step 3: Cross multiply
    54,058x = 80,870 × 80,870
  4. Step 4: Simplify right side
    54,058x = 6,539,956,900
  5. Step 5: Solve for x
    x = 6,539,956,900/54,058
  6. Step 6: Final answer
    x = 120,980.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.