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Finding the Third Proportional to 83,556.75 and 173,998.50

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Solution

The third proportional to 83,556.75 and 173,998.50 is: 362,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.75 : 173,998.50 = 173,998.50 : x
  2. Step 2: Convert to fraction form
    83,556.75/173,998.50 = 173,998.50/x
  3. Step 3: Cross multiply
    83,556.75x = 173,998.50 × 173,998.50
  4. Step 4: Simplify right side
    83,556.75x = 30,275,478,002.25
  5. Step 5: Solve for x
    x = 30,275,478,002.25/83,556.75
  6. Step 6: Final answer
    x = 362,334.32

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.