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Finding the Third Proportional to 45,020 and 104,227

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Solution

The third proportional to 45,020 and 104,227 is: 241,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,020 : 104,227 = 104,227 : x
  2. Step 2: Convert to fraction form
    45,020/104,227 = 104,227/x
  3. Step 3: Cross multiply
    45,020x = 104,227 × 104,227
  4. Step 4: Simplify right side
    45,020x = 10,863,267,529
  5. Step 5: Solve for x
    x = 10,863,267,529/45,020
  6. Step 6: Final answer
    x = 241,298.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.