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Finding the Third Proportional to 36,914 and 80,740

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Solution

The third proportional to 36,914 and 80,740 is: 176,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,914 : 80,740 = 80,740 : x
  2. Step 2: Convert to fraction form
    36,914/80,740 = 80,740/x
  3. Step 3: Cross multiply
    36,914x = 80,740 × 80,740
  4. Step 4: Simplify right side
    36,914x = 6,518,947,600
  5. Step 5: Solve for x
    x = 6,518,947,600/36,914
  6. Step 6: Final answer
    x = 176,598.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.