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Finding the Third Proportional to 116,619 and 174,893

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Solution

The third proportional to 116,619 and 174,893 is: 262,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,619 : 174,893 = 174,893 : x
  2. Step 2: Convert to fraction form
    116,619/174,893 = 174,893/x
  3. Step 3: Cross multiply
    116,619x = 174,893 × 174,893
  4. Step 4: Simplify right side
    116,619x = 30,587,561,449
  5. Step 5: Solve for x
    x = 30,587,561,449/116,619
  6. Step 6: Final answer
    x = 262,286.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.