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Finding the Third Proportional to 87,614 and 190,546

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Solution

The third proportional to 87,614 and 190,546 is: 414,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,614 : 190,546 = 190,546 : x
  2. Step 2: Convert to fraction form
    87,614/190,546 = 190,546/x
  3. Step 3: Cross multiply
    87,614x = 190,546 × 190,546
  4. Step 4: Simplify right side
    87,614x = 36,307,778,116
  5. Step 5: Solve for x
    x = 36,307,778,116/87,614
  6. Step 6: Final answer
    x = 414,406.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.