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Finding the Third Proportional to 89,278 and 138,177

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Solution

The third proportional to 89,278 and 138,177 is: 213,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278 : 138,177 = 138,177 : x
  2. Step 2: Convert to fraction form
    89,278/138,177 = 138,177/x
  3. Step 3: Cross multiply
    89,278x = 138,177 × 138,177
  4. Step 4: Simplify right side
    89,278x = 19,092,883,329
  5. Step 5: Solve for x
    x = 19,092,883,329/89,278
  6. Step 6: Final answer
    x = 213,858.77

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Why These Related Problems?

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