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Finding the Third Proportional to 55,843 and 121,535

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Solution

The third proportional to 55,843 and 121,535 is: 264,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,843 : 121,535 = 121,535 : x
  2. Step 2: Convert to fraction form
    55,843/121,535 = 121,535/x
  3. Step 3: Cross multiply
    55,843x = 121,535 × 121,535
  4. Step 4: Simplify right side
    55,843x = 14,770,756,225
  5. Step 5: Solve for x
    x = 14,770,756,225/55,843
  6. Step 6: Final answer
    x = 264,505.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.