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Finding the Third Proportional to 39,878 and 86,768

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Solution

The third proportional to 39,878 and 86,768 is: 188,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 86,768 = 86,768 : x
  2. Step 2: Convert to fraction form
    39,878/86,768 = 86,768/x
  3. Step 3: Cross multiply
    39,878x = 86,768 × 86,768
  4. Step 4: Simplify right side
    39,878x = 7,528,685,824
  5. Step 5: Solve for x
    x = 7,528,685,824/39,878
  6. Step 6: Final answer
    x = 188,792.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.