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Finding the Third Proportional to 113,823 and 163,954

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Solution

The third proportional to 113,823 and 163,954 is: 236,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,823 : 163,954 = 163,954 : x
  2. Step 2: Convert to fraction form
    113,823/163,954 = 163,954/x
  3. Step 3: Cross multiply
    113,823x = 163,954 × 163,954
  4. Step 4: Simplify right side
    113,823x = 26,880,914,116
  5. Step 5: Solve for x
    x = 26,880,914,116/113,823
  6. Step 6: Final answer
    x = 236,164.17

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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.