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Finding the Third Proportional to 82,998 and 126,927

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Solution

The third proportional to 82,998 and 126,927 is: 194,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998 : 126,927 = 126,927 : x
  2. Step 2: Convert to fraction form
    82,998/126,927 = 126,927/x
  3. Step 3: Cross multiply
    82,998x = 126,927 × 126,927
  4. Step 4: Simplify right side
    82,998x = 16,110,463,329
  5. Step 5: Solve for x
    x = 16,110,463,329/82,998
  6. Step 6: Final answer
    x = 194,106.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.