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Finding the Third Proportional to 107,623 and 212,486

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Solution

The third proportional to 107,623 and 212,486 is: 419,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,623 : 212,486 = 212,486 : x
  2. Step 2: Convert to fraction form
    107,623/212,486 = 212,486/x
  3. Step 3: Cross multiply
    107,623x = 212,486 × 212,486
  4. Step 4: Simplify right side
    107,623x = 45,150,300,196
  5. Step 5: Solve for x
    x = 45,150,300,196/107,623
  6. Step 6: Final answer
    x = 419,522.78

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.