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Finding the Third Proportional to 36,946 and 81,074

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Solution

The third proportional to 36,946 and 81,074 is: 177,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 81,074 = 81,074 : x
  2. Step 2: Convert to fraction form
    36,946/81,074 = 81,074/x
  3. Step 3: Cross multiply
    36,946x = 81,074 × 81,074
  4. Step 4: Simplify right side
    36,946x = 6,572,993,476
  5. Step 5: Solve for x
    x = 6,572,993,476/36,946
  6. Step 6: Final answer
    x = 177,908.12

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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.