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Finding the Third Proportional to 51,822.50 and 139,449.50

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Solution

The third proportional to 51,822.50 and 139,449.50 is: 375,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.50 : 139,449.50 = 139,449.50 : x
  2. Step 2: Convert to fraction form
    51,822.50/139,449.50 = 139,449.50/x
  3. Step 3: Cross multiply
    51,822.50x = 139,449.50 × 139,449.50
  4. Step 4: Simplify right side
    51,822.50x = 19,446,163,050.25
  5. Step 5: Solve for x
    x = 19,446,163,050.25/51,822.50
  6. Step 6: Final answer
    x = 375,245.56

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.