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Finding the Third Proportional to 81,504 and 175,059.50

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Solution

The third proportional to 81,504 and 175,059.50 is: 376,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504 : 175,059.50 = 175,059.50 : x
  2. Step 2: Convert to fraction form
    81,504/175,059.50 = 175,059.50/x
  3. Step 3: Cross multiply
    81,504x = 175,059.50 × 175,059.50
  4. Step 4: Simplify right side
    81,504x = 30,645,828,540.25
  5. Step 5: Solve for x
    x = 30,645,828,540.25/81,504
  6. Step 6: Final answer
    x = 376,003.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.