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Finding the Third Proportional to 56,834 and 89,162

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Solution

The third proportional to 56,834 and 89,162 is: 139,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,834 : 89,162 = 89,162 : x
  2. Step 2: Convert to fraction form
    56,834/89,162 = 89,162/x
  3. Step 3: Cross multiply
    56,834x = 89,162 × 89,162
  4. Step 4: Simplify right side
    56,834x = 7,949,862,244
  5. Step 5: Solve for x
    x = 7,949,862,244/56,834
  6. Step 6: Final answer
    x = 139,878.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.