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Finding the Third Proportional to 39,844 and 83,768

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Solution

The third proportional to 39,844 and 83,768 is: 176,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,844 : 83,768 = 83,768 : x
  2. Step 2: Convert to fraction form
    39,844/83,768 = 83,768/x
  3. Step 3: Cross multiply
    39,844x = 83,768 × 83,768
  4. Step 4: Simplify right side
    39,844x = 7,017,077,824
  5. Step 5: Solve for x
    x = 7,017,077,824/39,844
  6. Step 6: Final answer
    x = 176,113.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.