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Finding the Third Proportional to 43,249 and 93,167

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Solution

The third proportional to 43,249 and 93,167 is: 200,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,249 : 93,167 = 93,167 : x
  2. Step 2: Convert to fraction form
    43,249/93,167 = 93,167/x
  3. Step 3: Cross multiply
    43,249x = 93,167 × 93,167
  4. Step 4: Simplify right side
    43,249x = 8,680,089,889
  5. Step 5: Solve for x
    x = 8,680,089,889/43,249
  6. Step 6: Final answer
    x = 200,700.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.