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Finding the Third Proportional to 55,759 and 114,236

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Solution

The third proportional to 55,759 and 114,236 is: 234,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,759 : 114,236 = 114,236 : x
  2. Step 2: Convert to fraction form
    55,759/114,236 = 114,236/x
  3. Step 3: Cross multiply
    55,759x = 114,236 × 114,236
  4. Step 4: Simplify right side
    55,759x = 13,049,863,696
  5. Step 5: Solve for x
    x = 13,049,863,696/55,759
  6. Step 6: Final answer
    x = 234,040.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.