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Finding the Third Proportional to 102,284 and 162,824

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Solution

The third proportional to 102,284 and 162,824 is: 259,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284 : 162,824 = 162,824 : x
  2. Step 2: Convert to fraction form
    102,284/162,824 = 162,824/x
  3. Step 3: Cross multiply
    102,284x = 162,824 × 162,824
  4. Step 4: Simplify right side
    102,284x = 26,511,654,976
  5. Step 5: Solve for x
    x = 26,511,654,976/102,284
  6. Step 6: Final answer
    x = 259,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.