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Finding the Third Proportional to 63,185 and 136,162

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Solution

The third proportional to 63,185 and 136,162 is: 293,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,185 : 136,162 = 136,162 : x
  2. Step 2: Convert to fraction form
    63,185/136,162 = 136,162/x
  3. Step 3: Cross multiply
    63,185x = 136,162 × 136,162
  4. Step 4: Simplify right side
    63,185x = 18,540,090,244
  5. Step 5: Solve for x
    x = 18,540,090,244/63,185
  6. Step 6: Final answer
    x = 293,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.