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Finding the Third Proportional to 101,980 and 143,355

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Solution

The third proportional to 101,980 and 143,355 is: 201,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980 : 143,355 = 143,355 : x
  2. Step 2: Convert to fraction form
    101,980/143,355 = 143,355/x
  3. Step 3: Cross multiply
    101,980x = 143,355 × 143,355
  4. Step 4: Simplify right side
    101,980x = 20,550,656,025
  5. Step 5: Solve for x
    x = 20,550,656,025/101,980
  6. Step 6: Final answer
    x = 201,516.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.