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Finding the Third Proportional to 37,749 and 79,170

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Solution

The third proportional to 37,749 and 79,170 is: 166,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,749 : 79,170 = 79,170 : x
  2. Step 2: Convert to fraction form
    37,749/79,170 = 79,170/x
  3. Step 3: Cross multiply
    37,749x = 79,170 × 79,170
  4. Step 4: Simplify right side
    37,749x = 6,267,888,900
  5. Step 5: Solve for x
    x = 6,267,888,900/37,749
  6. Step 6: Final answer
    x = 166,041.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.