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Finding the Third Proportional to 124,474 and 178,935

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Solution

The third proportional to 124,474 and 178,935 is: 257,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,474 : 178,935 = 178,935 : x
  2. Step 2: Convert to fraction form
    124,474/178,935 = 178,935/x
  3. Step 3: Cross multiply
    124,474x = 178,935 × 178,935
  4. Step 4: Simplify right side
    124,474x = 32,017,734,225
  5. Step 5: Solve for x
    x = 32,017,734,225/124,474
  6. Step 6: Final answer
    x = 257,224.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.