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Finding the Third Proportional to 112,886 and 165,954

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Solution

The third proportional to 112,886 and 165,954 is: 243,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,886 : 165,954 = 165,954 : x
  2. Step 2: Convert to fraction form
    112,886/165,954 = 165,954/x
  3. Step 3: Cross multiply
    112,886x = 165,954 × 165,954
  4. Step 4: Simplify right side
    112,886x = 27,540,730,116
  5. Step 5: Solve for x
    x = 27,540,730,116/112,886
  6. Step 6: Final answer
    x = 243,969.40

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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.