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Finding the Third Proportional to 80,383.50 and 118,170

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Solution

The third proportional to 80,383.50 and 118,170 is: 173,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,383.50 : 118,170 = 118,170 : x
  2. Step 2: Convert to fraction form
    80,383.50/118,170 = 118,170/x
  3. Step 3: Cross multiply
    80,383.50x = 118,170 × 118,170
  4. Step 4: Simplify right side
    80,383.50x = 13,964,148,900
  5. Step 5: Solve for x
    x = 13,964,148,900/80,383.50
  6. Step 6: Final answer
    x = 173,719.10

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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.