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Finding the Third Proportional to 81,942 and 176,340

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Solution

The third proportional to 81,942 and 176,340 is: 379,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,942 : 176,340 = 176,340 : x
  2. Step 2: Convert to fraction form
    81,942/176,340 = 176,340/x
  3. Step 3: Cross multiply
    81,942x = 176,340 × 176,340
  4. Step 4: Simplify right side
    81,942x = 31,095,795,600
  5. Step 5: Solve for x
    x = 31,095,795,600/81,942
  6. Step 6: Final answer
    x = 379,485.44

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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.