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Finding the Third Proportional to 103,268 and 156,954

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Solution

The third proportional to 103,268 and 156,954 is: 238,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,268 : 156,954 = 156,954 : x
  2. Step 2: Convert to fraction form
    103,268/156,954 = 156,954/x
  3. Step 3: Cross multiply
    103,268x = 156,954 × 156,954
  4. Step 4: Simplify right side
    103,268x = 24,634,558,116
  5. Step 5: Solve for x
    x = 24,634,558,116/103,268
  6. Step 6: Final answer
    x = 238,549.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.