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Finding the Third Proportional to 67,869 and 99,826

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Solution

The third proportional to 67,869 and 99,826 is: 146,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869 : 99,826 = 99,826 : x
  2. Step 2: Convert to fraction form
    67,869/99,826 = 99,826/x
  3. Step 3: Cross multiply
    67,869x = 99,826 × 99,826
  4. Step 4: Simplify right side
    67,869x = 9,965,230,276
  5. Step 5: Solve for x
    x = 9,965,230,276/67,869
  6. Step 6: Final answer
    x = 146,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.