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Finding the Third Proportional to 68,244 and 146,856

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Solution

The third proportional to 68,244 and 146,856 is: 316,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244 : 146,856 = 146,856 : x
  2. Step 2: Convert to fraction form
    68,244/146,856 = 146,856/x
  3. Step 3: Cross multiply
    68,244x = 146,856 × 146,856
  4. Step 4: Simplify right side
    68,244x = 21,566,684,736
  5. Step 5: Solve for x
    x = 21,566,684,736/68,244
  6. Step 6: Final answer
    x = 316,023.16

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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.