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Finding the Third Proportional to 87,518.25 and 178,246.69

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Solution

The third proportional to 87,518.25 and 178,246.69 is: 363,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,518.25 : 178,246.69 = 178,246.69 : x
  2. Step 2: Convert to fraction form
    87,518.25/178,246.69 = 178,246.69/x
  3. Step 3: Cross multiply
    87,518.25x = 178,246.69 × 178,246.69
  4. Step 4: Simplify right side
    87,518.25x = 31,771,881,604.72
  5. Step 5: Solve for x
    x = 31,771,881,604.72/87,518.25
  6. Step 6: Final answer
    x = 363,031.50

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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.