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Finding the Third Proportional to 87,535 and 190,913

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Solution

The third proportional to 87,535 and 190,913 is: 416,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,535 : 190,913 = 190,913 : x
  2. Step 2: Convert to fraction form
    87,535/190,913 = 190,913/x
  3. Step 3: Cross multiply
    87,535x = 190,913 × 190,913
  4. Step 4: Simplify right side
    87,535x = 36,447,773,569
  5. Step 5: Solve for x
    x = 36,447,773,569/87,535
  6. Step 6: Final answer
    x = 416,379.43

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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.