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Finding the Third Proportional to 59,226 and 127,236

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Solution

The third proportional to 59,226 and 127,236 is: 273,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,226 : 127,236 = 127,236 : x
  2. Step 2: Convert to fraction form
    59,226/127,236 = 127,236/x
  3. Step 3: Cross multiply
    59,226x = 127,236 × 127,236
  4. Step 4: Simplify right side
    59,226x = 16,188,999,696
  5. Step 5: Solve for x
    x = 16,188,999,696/59,226
  6. Step 6: Final answer
    x = 273,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.