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Finding the Third Proportional to 52,583.75 and 114,805

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Solution

The third proportional to 52,583.75 and 114,805 is: 250,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583.75 : 114,805 = 114,805 : x
  2. Step 2: Convert to fraction form
    52,583.75/114,805 = 114,805/x
  3. Step 3: Cross multiply
    52,583.75x = 114,805 × 114,805
  4. Step 4: Simplify right side
    52,583.75x = 13,180,188,025
  5. Step 5: Solve for x
    x = 13,180,188,025/52,583.75
  6. Step 6: Final answer
    x = 250,651.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.