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Finding the Third Proportional to 35,149 and 76,852

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Solution

The third proportional to 35,149 and 76,852 is: 168,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149 : 76,852 = 76,852 : x
  2. Step 2: Convert to fraction form
    35,149/76,852 = 76,852/x
  3. Step 3: Cross multiply
    35,149x = 76,852 × 76,852
  4. Step 4: Simplify right side
    35,149x = 5,906,229,904
  5. Step 5: Solve for x
    x = 5,906,229,904/35,149
  6. Step 6: Final answer
    x = 168,034.08

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Why These Related Problems?

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