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Finding the Third Proportional to 141,121 and 201,171

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Solution

The third proportional to 141,121 and 201,171 is: 286,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,121 : 201,171 = 201,171 : x
  2. Step 2: Convert to fraction form
    141,121/201,171 = 201,171/x
  3. Step 3: Cross multiply
    141,121x = 201,171 × 201,171
  4. Step 4: Simplify right side
    141,121x = 40,469,771,241
  5. Step 5: Solve for x
    x = 40,469,771,241/141,121
  6. Step 6: Final answer
    x = 286,773.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.