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Finding the Third Proportional to 81,717 and 193,209

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Solution

The third proportional to 81,717 and 193,209 is: 456,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717 : 193,209 = 193,209 : x
  2. Step 2: Convert to fraction form
    81,717/193,209 = 193,209/x
  3. Step 3: Cross multiply
    81,717x = 193,209 × 193,209
  4. Step 4: Simplify right side
    81,717x = 37,329,717,681
  5. Step 5: Solve for x
    x = 37,329,717,681/81,717
  6. Step 6: Final answer
    x = 456,817.04

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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.