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Finding the Third Proportional to 56,529 and 89,983

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Solution

The third proportional to 56,529 and 89,983 is: 143,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,529 : 89,983 = 89,983 : x
  2. Step 2: Convert to fraction form
    56,529/89,983 = 89,983/x
  3. Step 3: Cross multiply
    56,529x = 89,983 × 89,983
  4. Step 4: Simplify right side
    56,529x = 8,096,940,289
  5. Step 5: Solve for x
    x = 8,096,940,289/56,529
  6. Step 6: Final answer
    x = 143,235.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.