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Finding the Third Proportional to 52,682 and 114,148

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Solution

The third proportional to 52,682 and 114,148 is: 247,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,682 : 114,148 = 114,148 : x
  2. Step 2: Convert to fraction form
    52,682/114,148 = 114,148/x
  3. Step 3: Cross multiply
    52,682x = 114,148 × 114,148
  4. Step 4: Simplify right side
    52,682x = 13,029,765,904
  5. Step 5: Solve for x
    x = 13,029,765,904/52,682
  6. Step 6: Final answer
    x = 247,328.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.