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Finding the Third Proportional to 100,886 and 156,112

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Solution

The third proportional to 100,886 and 156,112 is: 241,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886 : 156,112 = 156,112 : x
  2. Step 2: Convert to fraction form
    100,886/156,112 = 156,112/x
  3. Step 3: Cross multiply
    100,886x = 156,112 × 156,112
  4. Step 4: Simplify right side
    100,886x = 24,370,956,544
  5. Step 5: Solve for x
    x = 24,370,956,544/100,886
  6. Step 6: Final answer
    x = 241,569.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.