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Finding the Third Proportional to 39,012 and 76,056

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Solution

The third proportional to 39,012 and 76,056 is: 148,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,012 : 76,056 = 76,056 : x
  2. Step 2: Convert to fraction form
    39,012/76,056 = 76,056/x
  3. Step 3: Cross multiply
    39,012x = 76,056 × 76,056
  4. Step 4: Simplify right side
    39,012x = 5,784,515,136
  5. Step 5: Solve for x
    x = 5,784,515,136/39,012
  6. Step 6: Final answer
    x = 148,275.28

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.