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Finding the Third Proportional to 81,568 and 110,064

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Solution

The third proportional to 81,568 and 110,064 is: 148,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,568 : 110,064 = 110,064 : x
  2. Step 2: Convert to fraction form
    81,568/110,064 = 110,064/x
  3. Step 3: Cross multiply
    81,568x = 110,064 × 110,064
  4. Step 4: Simplify right side
    81,568x = 12,114,084,096
  5. Step 5: Solve for x
    x = 12,114,084,096/81,568
  6. Step 6: Final answer
    x = 148,515.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.