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Finding the Third Proportional to 52,139.50 and 114,647

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Solution

The third proportional to 52,139.50 and 114,647 is: 252,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139.50 : 114,647 = 114,647 : x
  2. Step 2: Convert to fraction form
    52,139.50/114,647 = 114,647/x
  3. Step 3: Cross multiply
    52,139.50x = 114,647 × 114,647
  4. Step 4: Simplify right side
    52,139.50x = 13,143,934,609
  5. Step 5: Solve for x
    x = 13,143,934,609/52,139.50
  6. Step 6: Final answer
    x = 252,091.69

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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.