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Finding the Third Proportional to 68,240 and 146,848

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Solution

The third proportional to 68,240 and 146,848 is: 316,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,240 : 146,848 = 146,848 : x
  2. Step 2: Convert to fraction form
    68,240/146,848 = 146,848/x
  3. Step 3: Cross multiply
    68,240x = 146,848 × 146,848
  4. Step 4: Simplify right side
    68,240x = 21,564,335,104
  5. Step 5: Solve for x
    x = 21,564,335,104/68,240
  6. Step 6: Final answer
    x = 316,007.26

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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.