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Finding the Third Proportional to 124,958 and 274,236

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Solution

The third proportional to 124,958 and 274,236 is: 601,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,958 : 274,236 = 274,236 : x
  2. Step 2: Convert to fraction form
    124,958/274,236 = 274,236/x
  3. Step 3: Cross multiply
    124,958x = 274,236 × 274,236
  4. Step 4: Simplify right side
    124,958x = 75,205,383,696
  5. Step 5: Solve for x
    x = 75,205,383,696/124,958
  6. Step 6: Final answer
    x = 601,845.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.