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Finding the Third Proportional to 67,838 and 97,869

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Solution

The third proportional to 67,838 and 97,869 is: 141,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838 : 97,869 = 97,869 : x
  2. Step 2: Convert to fraction form
    67,838/97,869 = 97,869/x
  3. Step 3: Cross multiply
    67,838x = 97,869 × 97,869
  4. Step 4: Simplify right side
    67,838x = 9,578,341,161
  5. Step 5: Solve for x
    x = 9,578,341,161/67,838
  6. Step 6: Final answer
    x = 141,194.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.