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Finding the Third Proportional to 87,296 and 190,148

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Solution

The third proportional to 87,296 and 190,148 is: 414,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296 : 190,148 = 190,148 : x
  2. Step 2: Convert to fraction form
    87,296/190,148 = 190,148/x
  3. Step 3: Cross multiply
    87,296x = 190,148 × 190,148
  4. Step 4: Simplify right side
    87,296x = 36,156,261,904
  5. Step 5: Solve for x
    x = 36,156,261,904/87,296
  6. Step 6: Final answer
    x = 414,180.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.