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Finding the Third Proportional to 67,869 and 144,752

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Solution

The third proportional to 67,869 and 144,752 is: 308,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869 : 144,752 = 144,752 : x
  2. Step 2: Convert to fraction form
    67,869/144,752 = 144,752/x
  3. Step 3: Cross multiply
    67,869x = 144,752 × 144,752
  4. Step 4: Simplify right side
    67,869x = 20,953,141,504
  5. Step 5: Solve for x
    x = 20,953,141,504/67,869
  6. Step 6: Final answer
    x = 308,729.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.