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Finding the Third Proportional to 81,800 and 120,004

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Solution

The third proportional to 81,800 and 120,004 is: 176,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800 : 120,004 = 120,004 : x
  2. Step 2: Convert to fraction form
    81,800/120,004 = 120,004/x
  3. Step 3: Cross multiply
    81,800x = 120,004 × 120,004
  4. Step 4: Simplify right side
    81,800x = 14,400,960,016
  5. Step 5: Solve for x
    x = 14,400,960,016/81,800
  6. Step 6: Final answer
    x = 176,050.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.