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Finding the Third Proportional to 36,970 and 80,168

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Solution

The third proportional to 36,970 and 80,168 is: 173,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970 : 80,168 = 80,168 : x
  2. Step 2: Convert to fraction form
    36,970/80,168 = 80,168/x
  3. Step 3: Cross multiply
    36,970x = 80,168 × 80,168
  4. Step 4: Simplify right side
    36,970x = 6,426,908,224
  5. Step 5: Solve for x
    x = 6,426,908,224/36,970
  6. Step 6: Final answer
    x = 173,841.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.