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Finding the Third Proportional to 43,636 and 97,144

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Solution

The third proportional to 43,636 and 97,144 is: 216,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,636 : 97,144 = 97,144 : x
  2. Step 2: Convert to fraction form
    43,636/97,144 = 97,144/x
  3. Step 3: Cross multiply
    43,636x = 97,144 × 97,144
  4. Step 4: Simplify right side
    43,636x = 9,436,956,736
  5. Step 5: Solve for x
    x = 9,436,956,736/43,636
  6. Step 6: Final answer
    x = 216,265.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.