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Finding the Third Proportional to 96,629 and 139,177

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Solution

The third proportional to 96,629 and 139,177 is: 200,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,629 : 139,177 = 139,177 : x
  2. Step 2: Convert to fraction form
    96,629/139,177 = 139,177/x
  3. Step 3: Cross multiply
    96,629x = 139,177 × 139,177
  4. Step 4: Simplify right side
    96,629x = 19,370,237,329
  5. Step 5: Solve for x
    x = 19,370,237,329/96,629
  6. Step 6: Final answer
    x = 200,459.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.