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Finding the Third Proportional to 103,828 and 162,656

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Solution

The third proportional to 103,828 and 162,656 is: 254,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828 : 162,656 = 162,656 : x
  2. Step 2: Convert to fraction form
    103,828/162,656 = 162,656/x
  3. Step 3: Cross multiply
    103,828x = 162,656 × 162,656
  4. Step 4: Simplify right side
    103,828x = 26,456,974,336
  5. Step 5: Solve for x
    x = 26,456,974,336/103,828
  6. Step 6: Final answer
    x = 254,815.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.