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Finding the Third Proportional to 68,241 and 104,523

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Solution

The third proportional to 68,241 and 104,523 is: 160,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,241 : 104,523 = 104,523 : x
  2. Step 2: Convert to fraction form
    68,241/104,523 = 104,523/x
  3. Step 3: Cross multiply
    68,241x = 104,523 × 104,523
  4. Step 4: Simplify right side
    68,241x = 10,925,057,529
  5. Step 5: Solve for x
    x = 10,925,057,529/68,241
  6. Step 6: Final answer
    x = 160,095.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.