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Finding the Third Proportional to 95,924 and 148,945

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Solution

The third proportional to 95,924 and 148,945 is: 231,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,924 : 148,945 = 148,945 : x
  2. Step 2: Convert to fraction form
    95,924/148,945 = 148,945/x
  3. Step 3: Cross multiply
    95,924x = 148,945 × 148,945
  4. Step 4: Simplify right side
    95,924x = 22,184,613,025
  5. Step 5: Solve for x
    x = 22,184,613,025/95,924
  6. Step 6: Final answer
    x = 231,272.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.