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Finding the Third Proportional to 56,162 and 81,939

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Solution

The third proportional to 56,162 and 81,939 is: 119,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,162 : 81,939 = 81,939 : x
  2. Step 2: Convert to fraction form
    56,162/81,939 = 81,939/x
  3. Step 3: Cross multiply
    56,162x = 81,939 × 81,939
  4. Step 4: Simplify right side
    56,162x = 6,713,999,721
  5. Step 5: Solve for x
    x = 6,713,999,721/56,162
  6. Step 6: Final answer
    x = 119,547.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.