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Finding the Third Proportional to 50,141.50 and 110,123

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Solution

The third proportional to 50,141.50 and 110,123 is: 241,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141.50 : 110,123 = 110,123 : x
  2. Step 2: Convert to fraction form
    50,141.50/110,123 = 110,123/x
  3. Step 3: Cross multiply
    50,141.50x = 110,123 × 110,123
  4. Step 4: Simplify right side
    50,141.50x = 12,127,075,129
  5. Step 5: Solve for x
    x = 12,127,075,129/50,141.50
  6. Step 6: Final answer
    x = 241,857.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.