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Finding the Third Proportional to 87,505 and 178,701

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Solution

The third proportional to 87,505 and 178,701 is: 364,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,505 : 178,701 = 178,701 : x
  2. Step 2: Convert to fraction form
    87,505/178,701 = 178,701/x
  3. Step 3: Cross multiply
    87,505x = 178,701 × 178,701
  4. Step 4: Simplify right side
    87,505x = 31,934,047,401
  5. Step 5: Solve for x
    x = 31,934,047,401/87,505
  6. Step 6: Final answer
    x = 364,939.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.