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Finding the Third Proportional to 102,636 and 163,962

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Solution

The third proportional to 102,636 and 163,962 is: 261,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636 : 163,962 = 163,962 : x
  2. Step 2: Convert to fraction form
    102,636/163,962 = 163,962/x
  3. Step 3: Cross multiply
    102,636x = 163,962 × 163,962
  4. Step 4: Simplify right side
    102,636x = 26,883,537,444
  5. Step 5: Solve for x
    x = 26,883,537,444/102,636
  6. Step 6: Final answer
    x = 261,930.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.