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Finding the Third Proportional to 75,012 and 156,954

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Solution

The third proportional to 75,012 and 156,954 is: 328,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,012 : 156,954 = 156,954 : x
  2. Step 2: Convert to fraction form
    75,012/156,954 = 156,954/x
  3. Step 3: Cross multiply
    75,012x = 156,954 × 156,954
  4. Step 4: Simplify right side
    75,012x = 24,634,558,116
  5. Step 5: Solve for x
    x = 24,634,558,116/75,012
  6. Step 6: Final answer
    x = 328,408.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.