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Finding the Third Proportional to 36,164 and 84,490

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Solution

The third proportional to 36,164 and 84,490 is: 197,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164 : 84,490 = 84,490 : x
  2. Step 2: Convert to fraction form
    36,164/84,490 = 84,490/x
  3. Step 3: Cross multiply
    36,164x = 84,490 × 84,490
  4. Step 4: Simplify right side
    36,164x = 7,138,560,100
  5. Step 5: Solve for x
    x = 7,138,560,100/36,164
  6. Step 6: Final answer
    x = 197,394.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.