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Finding the Third Proportional to 65,633 and 99,050

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Solution

The third proportional to 65,633 and 99,050 is: 149,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633 : 99,050 = 99,050 : x
  2. Step 2: Convert to fraction form
    65,633/99,050 = 99,050/x
  3. Step 3: Cross multiply
    65,633x = 99,050 × 99,050
  4. Step 4: Simplify right side
    65,633x = 9,810,902,500
  5. Step 5: Solve for x
    x = 9,810,902,500/65,633
  6. Step 6: Final answer
    x = 149,481.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.