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Finding the Third Proportional to 103,871 and 226,956

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Solution

The third proportional to 103,871 and 226,956 is: 495,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,871 : 226,956 = 226,956 : x
  2. Step 2: Convert to fraction form
    103,871/226,956 = 226,956/x
  3. Step 3: Cross multiply
    103,871x = 226,956 × 226,956
  4. Step 4: Simplify right side
    103,871x = 51,509,025,936
  5. Step 5: Solve for x
    x = 51,509,025,936/103,871
  6. Step 6: Final answer
    x = 495,894.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.