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Finding the Third Proportional to 45,493 and 98,755

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Solution

The third proportional to 45,493 and 98,755 is: 214,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,493 : 98,755 = 98,755 : x
  2. Step 2: Convert to fraction form
    45,493/98,755 = 98,755/x
  3. Step 3: Cross multiply
    45,493x = 98,755 × 98,755
  4. Step 4: Simplify right side
    45,493x = 9,752,550,025
  5. Step 5: Solve for x
    x = 9,752,550,025/45,493
  6. Step 6: Final answer
    x = 214,374.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.