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Finding the Third Proportional to 81,713 and 193,201

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Solution

The third proportional to 81,713 and 193,201 is: 456,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 193,201 = 193,201 : x
  2. Step 2: Convert to fraction form
    81,713/193,201 = 193,201/x
  3. Step 3: Cross multiply
    81,713x = 193,201 × 193,201
  4. Step 4: Simplify right side
    81,713x = 37,326,626,401
  5. Step 5: Solve for x
    x = 37,326,626,401/81,713
  6. Step 6: Final answer
    x = 456,801.57

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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.