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Finding the Third Proportional to 51,706.50 and 113,889

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Solution

The third proportional to 51,706.50 and 113,889 is: 250,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.50 : 113,889 = 113,889 : x
  2. Step 2: Convert to fraction form
    51,706.50/113,889 = 113,889/x
  3. Step 3: Cross multiply
    51,706.50x = 113,889 × 113,889
  4. Step 4: Simplify right side
    51,706.50x = 12,970,704,321
  5. Step 5: Solve for x
    x = 12,970,704,321/51,706.50
  6. Step 6: Final answer
    x = 250,852.49

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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.