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Finding the Third Proportional to 35,932 and 74,171

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Solution

The third proportional to 35,932 and 74,171 is: 153,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,932 : 74,171 = 74,171 : x
  2. Step 2: Convert to fraction form
    35,932/74,171 = 74,171/x
  3. Step 3: Cross multiply
    35,932x = 74,171 × 74,171
  4. Step 4: Simplify right side
    35,932x = 5,501,337,241
  5. Step 5: Solve for x
    x = 5,501,337,241/35,932
  6. Step 6: Final answer
    x = 153,104.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.