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Finding the Third Proportional to 39,056 and 82,768

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Solution

The third proportional to 39,056 and 82,768 is: 175,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,056 : 82,768 = 82,768 : x
  2. Step 2: Convert to fraction form
    39,056/82,768 = 82,768/x
  3. Step 3: Cross multiply
    39,056x = 82,768 × 82,768
  4. Step 4: Simplify right side
    39,056x = 6,850,541,824
  5. Step 5: Solve for x
    x = 6,850,541,824/39,056
  6. Step 6: Final answer
    x = 175,403.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.