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Finding the Third Proportional to 87,552 and 190,960

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Solution

The third proportional to 87,552 and 190,960 is: 416,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,552 : 190,960 = 190,960 : x
  2. Step 2: Convert to fraction form
    87,552/190,960 = 190,960/x
  3. Step 3: Cross multiply
    87,552x = 190,960 × 190,960
  4. Step 4: Simplify right side
    87,552x = 36,465,721,600
  5. Step 5: Solve for x
    x = 36,465,721,600/87,552
  6. Step 6: Final answer
    x = 416,503.58

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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.