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Finding the Third Proportional to 124,806 and 178,474

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Solution

The third proportional to 124,806 and 178,474 is: 255,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,806 : 178,474 = 178,474 : x
  2. Step 2: Convert to fraction form
    124,806/178,474 = 178,474/x
  3. Step 3: Cross multiply
    124,806x = 178,474 × 178,474
  4. Step 4: Simplify right side
    124,806x = 31,852,968,676
  5. Step 5: Solve for x
    x = 31,852,968,676/124,806
  6. Step 6: Final answer
    x = 255,219.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.