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Finding the Third Proportional to 39,172 and 87,064

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Solution

The third proportional to 39,172 and 87,064 is: 193,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,172 : 87,064 = 87,064 : x
  2. Step 2: Convert to fraction form
    39,172/87,064 = 87,064/x
  3. Step 3: Cross multiply
    39,172x = 87,064 × 87,064
  4. Step 4: Simplify right side
    39,172x = 7,580,140,096
  5. Step 5: Solve for x
    x = 7,580,140,096/39,172
  6. Step 6: Final answer
    x = 193,509.14

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.