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Finding the Third Proportional to 109,291 and 173,783

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Solution

The third proportional to 109,291 and 173,783 is: 276,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,291 : 173,783 = 173,783 : x
  2. Step 2: Convert to fraction form
    109,291/173,783 = 173,783/x
  3. Step 3: Cross multiply
    109,291x = 173,783 × 173,783
  4. Step 4: Simplify right side
    109,291x = 30,200,531,089
  5. Step 5: Solve for x
    x = 30,200,531,089/109,291
  6. Step 6: Final answer
    x = 276,331.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.