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Finding the Third Proportional to 50,137.73 and 101,095.59

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Solution

The third proportional to 50,137.73 and 101,095.59 is: 203,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137.73 : 101,095.59 = 101,095.59 : x
  2. Step 2: Convert to fraction form
    50,137.73/101,095.59 = 101,095.59/x
  3. Step 3: Cross multiply
    50,137.73x = 101,095.59 × 101,095.59
  4. Step 4: Simplify right side
    50,137.73x = 10,220,319,075.67
  5. Step 5: Solve for x
    x = 10,220,319,075.67/50,137.73
  6. Step 6: Final answer
    x = 203,844.85

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.