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Finding the Third Proportional to 72,573.50 and 109,954

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Solution

The third proportional to 72,573.50 and 109,954 is: 166,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,573.50 : 109,954 = 109,954 : x
  2. Step 2: Convert to fraction form
    72,573.50/109,954 = 109,954/x
  3. Step 3: Cross multiply
    72,573.50x = 109,954 × 109,954
  4. Step 4: Simplify right side
    72,573.50x = 12,089,882,116
  5. Step 5: Solve for x
    x = 12,089,882,116/72,573.50
  6. Step 6: Final answer
    x = 166,588.11

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