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Finding the Third Proportional to 35,170 and 76,151

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Solution

The third proportional to 35,170 and 76,151 is: 164,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170 : 76,151 = 76,151 : x
  2. Step 2: Convert to fraction form
    35,170/76,151 = 76,151/x
  3. Step 3: Cross multiply
    35,170x = 76,151 × 76,151
  4. Step 4: Simplify right side
    35,170x = 5,798,974,801
  5. Step 5: Solve for x
    x = 5,798,974,801/35,170
  6. Step 6: Final answer
    x = 164,884.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.