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Finding the Third Proportional to 81,816 and 120,030

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Solution

The third proportional to 81,816 and 120,030 is: 176,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 120,030 = 120,030 : x
  2. Step 2: Convert to fraction form
    81,816/120,030 = 120,030/x
  3. Step 3: Cross multiply
    81,816x = 120,030 × 120,030
  4. Step 4: Simplify right side
    81,816x = 14,407,200,900
  5. Step 5: Solve for x
    x = 14,407,200,900/81,816
  6. Step 6: Final answer
    x = 176,092.71

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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.