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Finding the Third Proportional to 68,556 and 152,866

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Solution

The third proportional to 68,556 and 152,866 is: 340,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,556 : 152,866 = 152,866 : x
  2. Step 2: Convert to fraction form
    68,556/152,866 = 152,866/x
  3. Step 3: Cross multiply
    68,556x = 152,866 × 152,866
  4. Step 4: Simplify right side
    68,556x = 23,368,013,956
  5. Step 5: Solve for x
    x = 23,368,013,956/68,556
  6. Step 6: Final answer
    x = 340,860.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.