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Finding the Third Proportional to 45,227 and 69,015

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Solution

The third proportional to 45,227 and 69,015 is: 105,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,227 : 69,015 = 69,015 : x
  2. Step 2: Convert to fraction form
    45,227/69,015 = 69,015/x
  3. Step 3: Cross multiply
    45,227x = 69,015 × 69,015
  4. Step 4: Simplify right side
    45,227x = 4,763,070,225
  5. Step 5: Solve for x
    x = 4,763,070,225/45,227
  6. Step 6: Final answer
    x = 105,314.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.