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Finding the Third Proportional to 39,116 and 53,144

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Solution

The third proportional to 39,116 and 53,144 is: 72,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 53,144 = 53,144 : x
  2. Step 2: Convert to fraction form
    39,116/53,144 = 53,144/x
  3. Step 3: Cross multiply
    39,116x = 53,144 × 53,144
  4. Step 4: Simplify right side
    39,116x = 2,824,284,736
  5. Step 5: Solve for x
    x = 2,824,284,736/39,116
  6. Step 6: Final answer
    x = 72,202.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.