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Finding the Third Proportional to 80,709.75 and 170,646.75

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Solution

The third proportional to 80,709.75 and 170,646.75 is: 360,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,709.75 : 170,646.75 = 170,646.75 : x
  2. Step 2: Convert to fraction form
    80,709.75/170,646.75 = 170,646.75/x
  3. Step 3: Cross multiply
    80,709.75x = 170,646.75 × 170,646.75
  4. Step 4: Simplify right side
    80,709.75x = 29,120,313,285.56
  5. Step 5: Solve for x
    x = 29,120,313,285.56/80,709.75
  6. Step 6: Final answer
    x = 360,802.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.