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Finding the Third Proportional to 83,589.75 and 162,994.50

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Solution

The third proportional to 83,589.75 and 162,994.50 is: 317,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589.75 : 162,994.50 = 162,994.50 : x
  2. Step 2: Convert to fraction form
    83,589.75/162,994.50 = 162,994.50/x
  3. Step 3: Cross multiply
    83,589.75x = 162,994.50 × 162,994.50
  4. Step 4: Simplify right side
    83,589.75x = 26,567,207,030.25
  5. Step 5: Solve for x
    x = 26,567,207,030.25/83,589.75
  6. Step 6: Final answer
    x = 317,828.53

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.