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Finding the Third Proportional to 94,081 and 201,109

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Solution

The third proportional to 94,081 and 201,109 is: 429,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,081 : 201,109 = 201,109 : x
  2. Step 2: Convert to fraction form
    94,081/201,109 = 201,109/x
  3. Step 3: Cross multiply
    94,081x = 201,109 × 201,109
  4. Step 4: Simplify right side
    94,081x = 40,444,829,881
  5. Step 5: Solve for x
    x = 40,444,829,881/94,081
  6. Step 6: Final answer
    x = 429,893.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.