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Finding the Third Proportional to 35,169 and 75,836

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Solution

The third proportional to 35,169 and 75,836 is: 163,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,169 : 75,836 = 75,836 : x
  2. Step 2: Convert to fraction form
    35,169/75,836 = 75,836/x
  3. Step 3: Cross multiply
    35,169x = 75,836 × 75,836
  4. Step 4: Simplify right side
    35,169x = 5,751,098,896
  5. Step 5: Solve for x
    x = 5,751,098,896/35,169
  6. Step 6: Final answer
    x = 163,527.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.