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Finding the Third Proportional to 95,667 and 148,968

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Solution

The third proportional to 95,667 and 148,968 is: 231,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,667 : 148,968 = 148,968 : x
  2. Step 2: Convert to fraction form
    95,667/148,968 = 148,968/x
  3. Step 3: Cross multiply
    95,667x = 148,968 × 148,968
  4. Step 4: Simplify right side
    95,667x = 22,191,465,024
  5. Step 5: Solve for x
    x = 22,191,465,024/95,667
  6. Step 6: Final answer
    x = 231,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.