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Finding the Third Proportional to 44,223 and 67,620

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Solution

The third proportional to 44,223 and 67,620 is: 103,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,223 : 67,620 = 67,620 : x
  2. Step 2: Convert to fraction form
    44,223/67,620 = 67,620/x
  3. Step 3: Cross multiply
    44,223x = 67,620 × 67,620
  4. Step 4: Simplify right side
    44,223x = 4,572,464,400
  5. Step 5: Solve for x
    x = 4,572,464,400/44,223
  6. Step 6: Final answer
    x = 103,395.62

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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.