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Finding the Third Proportional to 68,257 and 146,392

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Solution

The third proportional to 68,257 and 146,392 is: 313,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257 : 146,392 = 146,392 : x
  2. Step 2: Convert to fraction form
    68,257/146,392 = 146,392/x
  3. Step 3: Cross multiply
    68,257x = 146,392 × 146,392
  4. Step 4: Simplify right side
    68,257x = 21,430,617,664
  5. Step 5: Solve for x
    x = 21,430,617,664/68,257
  6. Step 6: Final answer
    x = 313,969.52

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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.