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Finding the Third Proportional to 94,704 and 209,172

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Solution

The third proportional to 94,704 and 209,172 is: 461,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,704 : 209,172 = 209,172 : x
  2. Step 2: Convert to fraction form
    94,704/209,172 = 209,172/x
  3. Step 3: Cross multiply
    94,704x = 209,172 × 209,172
  4. Step 4: Simplify right side
    94,704x = 43,752,925,584
  5. Step 5: Solve for x
    x = 43,752,925,584/94,704
  6. Step 6: Final answer
    x = 461,996.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.