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Finding the Third Proportional to 44,841 and 72,250

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Solution

The third proportional to 44,841 and 72,250 is: 116,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,841 : 72,250 = 72,250 : x
  2. Step 2: Convert to fraction form
    44,841/72,250 = 72,250/x
  3. Step 3: Cross multiply
    44,841x = 72,250 × 72,250
  4. Step 4: Simplify right side
    44,841x = 5,220,062,500
  5. Step 5: Solve for x
    x = 5,220,062,500/44,841
  6. Step 6: Final answer
    x = 116,412.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.