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Finding the Third Proportional to 43,096 and 64,692

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Solution

The third proportional to 43,096 and 64,692 is: 97,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096 : 64,692 = 64,692 : x
  2. Step 2: Convert to fraction form
    43,096/64,692 = 64,692/x
  3. Step 3: Cross multiply
    43,096x = 64,692 × 64,692
  4. Step 4: Simplify right side
    43,096x = 4,185,054,864
  5. Step 5: Solve for x
    x = 4,185,054,864/43,096
  6. Step 6: Final answer
    x = 97,110.05

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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.