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Finding the Third Proportional to 103,696 and 151,656

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Solution

The third proportional to 103,696 and 151,656 is: 221,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 151,656 = 151,656 : x
  2. Step 2: Convert to fraction form
    103,696/151,656 = 151,656/x
  3. Step 3: Cross multiply
    103,696x = 151,656 × 151,656
  4. Step 4: Simplify right side
    103,696x = 22,999,542,336
  5. Step 5: Solve for x
    x = 22,999,542,336/103,696
  6. Step 6: Final answer
    x = 221,797.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.