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Finding the Third Proportional to 108,628 and 163,635

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Solution

The third proportional to 108,628 and 163,635 is: 246,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,628 : 163,635 = 163,635 : x
  2. Step 2: Convert to fraction form
    108,628/163,635 = 163,635/x
  3. Step 3: Cross multiply
    108,628x = 163,635 × 163,635
  4. Step 4: Simplify right side
    108,628x = 26,776,413,225
  5. Step 5: Solve for x
    x = 26,776,413,225/108,628
  6. Step 6: Final answer
    x = 246,496.42

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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.