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Finding the Third Proportional to 87,554 and 190,964

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Solution

The third proportional to 87,554 and 190,964 is: 416,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,554 : 190,964 = 190,964 : x
  2. Step 2: Convert to fraction form
    87,554/190,964 = 190,964/x
  3. Step 3: Cross multiply
    87,554x = 190,964 × 190,964
  4. Step 4: Simplify right side
    87,554x = 36,467,249,296
  5. Step 5: Solve for x
    x = 36,467,249,296/87,554
  6. Step 6: Final answer
    x = 416,511.52

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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.