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Finding the Third Proportional to 82,219 and 122,998

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Solution

The third proportional to 82,219 and 122,998 is: 184,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219 : 122,998 = 122,998 : x
  2. Step 2: Convert to fraction form
    82,219/122,998 = 122,998/x
  3. Step 3: Cross multiply
    82,219x = 122,998 × 122,998
  4. Step 4: Simplify right side
    82,219x = 15,128,508,004
  5. Step 5: Solve for x
    x = 15,128,508,004/82,219
  6. Step 6: Final answer
    x = 184,002.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.