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Finding the Third Proportional to 56,847 and 88,977

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Solution

The third proportional to 56,847 and 88,977 is: 139,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,847 : 88,977 = 88,977 : x
  2. Step 2: Convert to fraction form
    56,847/88,977 = 88,977/x
  3. Step 3: Cross multiply
    56,847x = 88,977 × 88,977
  4. Step 4: Simplify right side
    56,847x = 7,916,906,529
  5. Step 5: Solve for x
    x = 7,916,906,529/56,847
  6. Step 6: Final answer
    x = 139,266.92

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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.