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Finding the Third Proportional to 37,720 and 79,232

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Solution

The third proportional to 37,720 and 79,232 is: 166,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720 : 79,232 = 79,232 : x
  2. Step 2: Convert to fraction form
    37,720/79,232 = 79,232/x
  3. Step 3: Cross multiply
    37,720x = 79,232 × 79,232
  4. Step 4: Simplify right side
    37,720x = 6,277,709,824
  5. Step 5: Solve for x
    x = 6,277,709,824/37,720
  6. Step 6: Final answer
    x = 166,429.21

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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.