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Finding the Third Proportional to 68,362 and 146,564

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Solution

The third proportional to 68,362 and 146,564 is: 314,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,362 : 146,564 = 146,564 : x
  2. Step 2: Convert to fraction form
    68,362/146,564 = 146,564/x
  3. Step 3: Cross multiply
    68,362x = 146,564 × 146,564
  4. Step 4: Simplify right side
    68,362x = 21,481,006,096
  5. Step 5: Solve for x
    x = 21,481,006,096/68,362
  6. Step 6: Final answer
    x = 314,224.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.