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Finding the Third Proportional to 72,538 and 110,954

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Solution

The third proportional to 72,538 and 110,954 is: 169,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538 : 110,954 = 110,954 : x
  2. Step 2: Convert to fraction form
    72,538/110,954 = 110,954/x
  3. Step 3: Cross multiply
    72,538x = 110,954 × 110,954
  4. Step 4: Simplify right side
    72,538x = 12,310,790,116
  5. Step 5: Solve for x
    x = 12,310,790,116/72,538
  6. Step 6: Final answer
    x = 169,715.05

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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.