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Finding the Third Proportional to 72,172.50 and 103,961.25

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Solution

The third proportional to 72,172.50 and 103,961.25 is: 149,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,172.50 : 103,961.25 = 103,961.25 : x
  2. Step 2: Convert to fraction form
    72,172.50/103,961.25 = 103,961.25/x
  3. Step 3: Cross multiply
    72,172.50x = 103,961.25 × 103,961.25
  4. Step 4: Simplify right side
    72,172.50x = 10,807,941,501.56
  5. Step 5: Solve for x
    x = 10,807,941,501.56/72,172.50
  6. Step 6: Final answer
    x = 149,751.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.