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Finding the Third Proportional to 89,696 and 121,869

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Solution

The third proportional to 89,696 and 121,869 is: 165,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,696 : 121,869 = 121,869 : x
  2. Step 2: Convert to fraction form
    89,696/121,869 = 121,869/x
  3. Step 3: Cross multiply
    89,696x = 121,869 × 121,869
  4. Step 4: Simplify right side
    89,696x = 14,852,053,161
  5. Step 5: Solve for x
    x = 14,852,053,161/89,696
  6. Step 6: Final answer
    x = 165,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.