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Finding the Third Proportional to 55,581 and 119,916

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Solution

The third proportional to 55,581 and 119,916 is: 258,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,581 : 119,916 = 119,916 : x
  2. Step 2: Convert to fraction form
    55,581/119,916 = 119,916/x
  3. Step 3: Cross multiply
    55,581x = 119,916 × 119,916
  4. Step 4: Simplify right side
    55,581x = 14,379,847,056
  5. Step 5: Solve for x
    x = 14,379,847,056/55,581
  6. Step 6: Final answer
    x = 258,718.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.