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Finding the Third Proportional to 35,161.59 and 76,922.16

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Solution

The third proportional to 35,161.59 and 76,922.16 is: 168,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,161.59 : 76,922.16 = 76,922.16 : x
  2. Step 2: Convert to fraction form
    35,161.59/76,922.16 = 76,922.16/x
  3. Step 3: Cross multiply
    35,161.59x = 76,922.16 × 76,922.16
  4. Step 4: Simplify right side
    35,161.59x = 5,917,018,122.15
  5. Step 5: Solve for x
    x = 5,917,018,122.15/35,161.59
  6. Step 6: Final answer
    x = 168,280.71

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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.