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Finding the Third Proportional to 35,057.25 and 75,096

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Solution

The third proportional to 35,057.25 and 75,096 is: 160,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057.25 : 75,096 = 75,096 : x
  2. Step 2: Convert to fraction form
    35,057.25/75,096 = 75,096/x
  3. Step 3: Cross multiply
    35,057.25x = 75,096 × 75,096
  4. Step 4: Simplify right side
    35,057.25x = 5,639,409,216
  5. Step 5: Solve for x
    x = 5,639,409,216/35,057.25
  6. Step 6: Final answer
    x = 160,862.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.