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Finding the Third Proportional to 102,256 and 156,954

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Solution

The third proportional to 102,256 and 156,954 is: 240,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256 : 156,954 = 156,954 : x
  2. Step 2: Convert to fraction form
    102,256/156,954 = 156,954/x
  3. Step 3: Cross multiply
    102,256x = 156,954 × 156,954
  4. Step 4: Simplify right side
    102,256x = 24,634,558,116
  5. Step 5: Solve for x
    x = 24,634,558,116/102,256
  6. Step 6: Final answer
    x = 240,910.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.