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Finding the Third Proportional to 56,880 and 86,064

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Solution

The third proportional to 56,880 and 86,064 is: 130,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,880 : 86,064 = 86,064 : x
  2. Step 2: Convert to fraction form
    56,880/86,064 = 86,064/x
  3. Step 3: Cross multiply
    56,880x = 86,064 × 86,064
  4. Step 4: Simplify right side
    56,880x = 7,407,012,096
  5. Step 5: Solve for x
    x = 7,407,012,096/56,880
  6. Step 6: Final answer
    x = 130,221.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.