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Finding the Third Proportional to 81,715 and 193,206

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Solution

The third proportional to 81,715 and 193,206 is: 456,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,715 : 193,206 = 193,206 : x
  2. Step 2: Convert to fraction form
    81,715/193,206 = 193,206/x
  3. Step 3: Cross multiply
    81,715x = 193,206 × 193,206
  4. Step 4: Simplify right side
    81,715x = 37,328,558,436
  5. Step 5: Solve for x
    x = 37,328,558,436/81,715
  6. Step 6: Final answer
    x = 456,814.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.