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Finding the Third Proportional to 95,268 and 139,950

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Solution

The third proportional to 95,268 and 139,950 is: 205,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,268 : 139,950 = 139,950 : x
  2. Step 2: Convert to fraction form
    95,268/139,950 = 139,950/x
  3. Step 3: Cross multiply
    95,268x = 139,950 × 139,950
  4. Step 4: Simplify right side
    95,268x = 19,586,002,500
  5. Step 5: Solve for x
    x = 19,586,002,500/95,268
  6. Step 6: Final answer
    x = 205,588.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.