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Finding the Third Proportional to 108,608 and 163,768

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Solution

The third proportional to 108,608 and 163,768 is: 246,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,608 : 163,768 = 163,768 : x
  2. Step 2: Convert to fraction form
    108,608/163,768 = 163,768/x
  3. Step 3: Cross multiply
    108,608x = 163,768 × 163,768
  4. Step 4: Simplify right side
    108,608x = 26,819,957,824
  5. Step 5: Solve for x
    x = 26,819,957,824/108,608
  6. Step 6: Final answer
    x = 246,942.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.