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Finding the Third Proportional to 87,564 and 131,994

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Solution

The third proportional to 87,564 and 131,994 is: 198,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,564 : 131,994 = 131,994 : x
  2. Step 2: Convert to fraction form
    87,564/131,994 = 131,994/x
  3. Step 3: Cross multiply
    87,564x = 131,994 × 131,994
  4. Step 4: Simplify right side
    87,564x = 17,422,416,036
  5. Step 5: Solve for x
    x = 17,422,416,036/87,564
  6. Step 6: Final answer
    x = 198,967.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.