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Finding the Third Proportional to 68,238 and 105,273

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Solution

The third proportional to 68,238 and 105,273 is: 162,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,238 : 105,273 = 105,273 : x
  2. Step 2: Convert to fraction form
    68,238/105,273 = 105,273/x
  3. Step 3: Cross multiply
    68,238x = 105,273 × 105,273
  4. Step 4: Simplify right side
    68,238x = 11,082,404,529
  5. Step 5: Solve for x
    x = 11,082,404,529/68,238
  6. Step 6: Final answer
    x = 162,408.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.