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Finding the Third Proportional to 45,978 and 96,621

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Solution

The third proportional to 45,978 and 96,621 is: 203,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978 : 96,621 = 96,621 : x
  2. Step 2: Convert to fraction form
    45,978/96,621 = 96,621/x
  3. Step 3: Cross multiply
    45,978x = 96,621 × 96,621
  4. Step 4: Simplify right side
    45,978x = 9,335,617,641
  5. Step 5: Solve for x
    x = 9,335,617,641/45,978
  6. Step 6: Final answer
    x = 203,045.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.