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Finding the Third Proportional to 35,072 and 75,976

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Solution

The third proportional to 35,072 and 75,976 is: 164,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072 : 75,976 = 75,976 : x
  2. Step 2: Convert to fraction form
    35,072/75,976 = 75,976/x
  3. Step 3: Cross multiply
    35,072x = 75,976 × 75,976
  4. Step 4: Simplify right side
    35,072x = 5,772,352,576
  5. Step 5: Solve for x
    x = 5,772,352,576/35,072
  6. Step 6: Final answer
    x = 164,585.78

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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.