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Finding the Third Proportional to 71,871 and 154,974

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Solution

The third proportional to 71,871 and 154,974 is: 334,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871 : 154,974 = 154,974 : x
  2. Step 2: Convert to fraction form
    71,871/154,974 = 154,974/x
  3. Step 3: Cross multiply
    71,871x = 154,974 × 154,974
  4. Step 4: Simplify right side
    71,871x = 24,016,940,676
  5. Step 5: Solve for x
    x = 24,016,940,676/71,871
  6. Step 6: Final answer
    x = 334,167.34

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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.