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Finding the Third Proportional to 55,226 and 119,785

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Solution

The third proportional to 55,226 and 119,785 is: 259,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,226 : 119,785 = 119,785 : x
  2. Step 2: Convert to fraction form
    55,226/119,785 = 119,785/x
  3. Step 3: Cross multiply
    55,226x = 119,785 × 119,785
  4. Step 4: Simplify right side
    55,226x = 14,348,446,225
  5. Step 5: Solve for x
    x = 14,348,446,225/55,226
  6. Step 6: Final answer
    x = 259,813.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.