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Finding the Third Proportional to 52,855 and 114,205

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Solution

The third proportional to 52,855 and 114,205 is: 246,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855 : 114,205 = 114,205 : x
  2. Step 2: Convert to fraction form
    52,855/114,205 = 114,205/x
  3. Step 3: Cross multiply
    52,855x = 114,205 × 114,205
  4. Step 4: Simplify right side
    52,855x = 13,042,782,025
  5. Step 5: Solve for x
    x = 13,042,782,025/52,855
  6. Step 6: Final answer
    x = 246,765.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.