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Finding the Third Proportional to 80,852 and 170,081.50

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Solution

The third proportional to 80,852 and 170,081.50 is: 357,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,852 : 170,081.50 = 170,081.50 : x
  2. Step 2: Convert to fraction form
    80,852/170,081.50 = 170,081.50/x
  3. Step 3: Cross multiply
    80,852x = 170,081.50 × 170,081.50
  4. Step 4: Simplify right side
    80,852x = 28,927,716,642.25
  5. Step 5: Solve for x
    x = 28,927,716,642.25/80,852
  6. Step 6: Final answer
    x = 357,786.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.