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Finding the Third Proportional to 43,592 and 69,064

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Solution

The third proportional to 43,592 and 69,064 is: 109,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,592 : 69,064 = 69,064 : x
  2. Step 2: Convert to fraction form
    43,592/69,064 = 69,064/x
  3. Step 3: Cross multiply
    43,592x = 69,064 × 69,064
  4. Step 4: Simplify right side
    43,592x = 4,769,836,096
  5. Step 5: Solve for x
    x = 4,769,836,096/43,592
  6. Step 6: Final answer
    x = 109,419.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.