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Finding the Third Proportional to 40,636 and 88,740

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Solution

The third proportional to 40,636 and 88,740 is: 193,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,636 : 88,740 = 88,740 : x
  2. Step 2: Convert to fraction form
    40,636/88,740 = 88,740/x
  3. Step 3: Cross multiply
    40,636x = 88,740 × 88,740
  4. Step 4: Simplify right side
    40,636x = 7,874,787,600
  5. Step 5: Solve for x
    x = 7,874,787,600/40,636
  6. Step 6: Final answer
    x = 193,788.45

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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.