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Finding the Third Proportional to 50,577.75 and 106,359.75

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Solution

The third proportional to 50,577.75 and 106,359.75 is: 223,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577.75 : 106,359.75 = 106,359.75 : x
  2. Step 2: Convert to fraction form
    50,577.75/106,359.75 = 106,359.75/x
  3. Step 3: Cross multiply
    50,577.75x = 106,359.75 × 106,359.75
  4. Step 4: Simplify right side
    50,577.75x = 11,312,396,420.06
  5. Step 5: Solve for x
    x = 11,312,396,420.06/50,577.75
  6. Step 6: Final answer
    x = 223,663.50

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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.