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Finding the Third Proportional to 82,534.50 and 171,525.94

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Solution

The third proportional to 82,534.50 and 171,525.94 is: 356,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.50 : 171,525.94 = 171,525.94 : x
  2. Step 2: Convert to fraction form
    82,534.50/171,525.94 = 171,525.94/x
  3. Step 3: Cross multiply
    82,534.50x = 171,525.94 × 171,525.94
  4. Step 4: Simplify right side
    82,534.50x = 29,421,147,235.25
  5. Step 5: Solve for x
    x = 29,421,147,235.25/82,534.50
  6. Step 6: Final answer
    x = 356,470.90

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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.