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Finding the Third Proportional to 96,066 and 143,715

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Solution

The third proportional to 96,066 and 143,715 is: 214,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,066 : 143,715 = 143,715 : x
  2. Step 2: Convert to fraction form
    96,066/143,715 = 143,715/x
  3. Step 3: Cross multiply
    96,066x = 143,715 × 143,715
  4. Step 4: Simplify right side
    96,066x = 20,654,001,225
  5. Step 5: Solve for x
    x = 20,654,001,225/96,066
  6. Step 6: Final answer
    x = 214,998.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.