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Finding the Third Proportional to 81,740 and 110,946

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Solution

The third proportional to 81,740 and 110,946 is: 150,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740 : 110,946 = 110,946 : x
  2. Step 2: Convert to fraction form
    81,740/110,946 = 110,946/x
  3. Step 3: Cross multiply
    81,740x = 110,946 × 110,946
  4. Step 4: Simplify right side
    81,740x = 12,309,014,916
  5. Step 5: Solve for x
    x = 12,309,014,916/81,740
  6. Step 6: Final answer
    x = 150,587.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.