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Finding the Third Proportional to 121,286.25 and 173,676.75

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Solution

The third proportional to 121,286.25 and 173,676.75 is: 248,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286.25 : 173,676.75 = 173,676.75 : x
  2. Step 2: Convert to fraction form
    121,286.25/173,676.75 = 173,676.75/x
  3. Step 3: Cross multiply
    121,286.25x = 173,676.75 × 173,676.75
  4. Step 4: Simplify right side
    121,286.25x = 30,163,613,490.56
  5. Step 5: Solve for x
    x = 30,163,613,490.56/121,286.25
  6. Step 6: Final answer
    x = 248,697.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.