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Finding the Third Proportional to 35,198 and 76,270

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Solution

The third proportional to 35,198 and 76,270 is: 165,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198 : 76,270 = 76,270 : x
  2. Step 2: Convert to fraction form
    35,198/76,270 = 76,270/x
  3. Step 3: Cross multiply
    35,198x = 76,270 × 76,270
  4. Step 4: Simplify right side
    35,198x = 5,817,112,900
  5. Step 5: Solve for x
    x = 5,817,112,900/35,198
  6. Step 6: Final answer
    x = 165,268.28

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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.