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Finding the Third Proportional to 81,936 and 176,328

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Solution

The third proportional to 81,936 and 176,328 is: 379,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 176,328 = 176,328 : x
  2. Step 2: Convert to fraction form
    81,936/176,328 = 176,328/x
  3. Step 3: Cross multiply
    81,936x = 176,328 × 176,328
  4. Step 4: Simplify right side
    81,936x = 31,091,563,584
  5. Step 5: Solve for x
    x = 31,091,563,584/81,936
  6. Step 6: Final answer
    x = 379,461.57

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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.