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Finding the Third Proportional to 82,995 and 182,190

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Solution

The third proportional to 82,995 and 182,190 is: 399,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,995 : 182,190 = 182,190 : x
  2. Step 2: Convert to fraction form
    82,995/182,190 = 182,190/x
  3. Step 3: Cross multiply
    82,995x = 182,190 × 182,190
  4. Step 4: Simplify right side
    82,995x = 33,193,196,100
  5. Step 5: Solve for x
    x = 33,193,196,100/82,995
  6. Step 6: Final answer
    x = 399,942.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.