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Finding the Third Proportional to 104,072 and 221,108

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Solution

The third proportional to 104,072 and 221,108 is: 469,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,072 : 221,108 = 221,108 : x
  2. Step 2: Convert to fraction form
    104,072/221,108 = 221,108/x
  3. Step 3: Cross multiply
    104,072x = 221,108 × 221,108
  4. Step 4: Simplify right side
    104,072x = 48,888,747,664
  5. Step 5: Solve for x
    x = 48,888,747,664/104,072
  6. Step 6: Final answer
    x = 469,758.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.