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Finding the Third Proportional to 91,782 and 141,177

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Solution

The third proportional to 91,782 and 141,177 is: 217,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782 : 141,177 = 141,177 : x
  2. Step 2: Convert to fraction form
    91,782/141,177 = 141,177/x
  3. Step 3: Cross multiply
    91,782x = 141,177 × 141,177
  4. Step 4: Simplify right side
    91,782x = 19,930,945,329
  5. Step 5: Solve for x
    x = 19,930,945,329/91,782
  6. Step 6: Final answer
    x = 217,155.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.