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Finding the Third Proportional to 35,124 and 82,911.75

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Solution

The third proportional to 35,124 and 82,911.75 is: 195,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,124 : 82,911.75 = 82,911.75 : x
  2. Step 2: Convert to fraction form
    35,124/82,911.75 = 82,911.75/x
  3. Step 3: Cross multiply
    35,124x = 82,911.75 × 82,911.75
  4. Step 4: Simplify right side
    35,124x = 6,874,358,288.06
  5. Step 5: Solve for x
    x = 6,874,358,288.06/35,124
  6. Step 6: Final answer
    x = 195,716.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.