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Finding the Third Proportional to 44,250 and 68,520

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Solution

The third proportional to 44,250 and 68,520 is: 106,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,250 : 68,520 = 68,520 : x
  2. Step 2: Convert to fraction form
    44,250/68,520 = 68,520/x
  3. Step 3: Cross multiply
    44,250x = 68,520 × 68,520
  4. Step 4: Simplify right side
    44,250x = 4,694,990,400
  5. Step 5: Solve for x
    x = 4,694,990,400/44,250
  6. Step 6: Final answer
    x = 106,101.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.