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Finding the Third Proportional to 44,469 and 92,583

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Solution

The third proportional to 44,469 and 92,583 is: 192,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,469 : 92,583 = 92,583 : x
  2. Step 2: Convert to fraction form
    44,469/92,583 = 92,583/x
  3. Step 3: Cross multiply
    44,469x = 92,583 × 92,583
  4. Step 4: Simplify right side
    44,469x = 8,571,611,889
  5. Step 5: Solve for x
    x = 8,571,611,889/44,469
  6. Step 6: Final answer
    x = 192,754.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.