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Finding the Third Proportional to 87,129.75 and 190,661.75

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Solution

The third proportional to 87,129.75 and 190,661.75 is: 417,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,129.75 : 190,661.75 = 190,661.75 : x
  2. Step 2: Convert to fraction form
    87,129.75/190,661.75 = 190,661.75/x
  3. Step 3: Cross multiply
    87,129.75x = 190,661.75 × 190,661.75
  4. Step 4: Simplify right side
    87,129.75x = 36,351,902,913.06
  5. Step 5: Solve for x
    x = 36,351,902,913.06/87,129.75
  6. Step 6: Final answer
    x = 417,215.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.