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Finding the Third Proportional to 35,871 and 73,199

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Solution

The third proportional to 35,871 and 73,199 is: 149,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871 : 73,199 = 73,199 : x
  2. Step 2: Convert to fraction form
    35,871/73,199 = 73,199/x
  3. Step 3: Cross multiply
    35,871x = 73,199 × 73,199
  4. Step 4: Simplify right side
    35,871x = 5,358,093,601
  5. Step 5: Solve for x
    x = 5,358,093,601/35,871
  6. Step 6: Final answer
    x = 149,371.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.