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Finding the Third Proportional to 72,474 and 105,561.75

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Solution

The third proportional to 72,474 and 105,561.75 is: 153,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,474 : 105,561.75 = 105,561.75 : x
  2. Step 2: Convert to fraction form
    72,474/105,561.75 = 105,561.75/x
  3. Step 3: Cross multiply
    72,474x = 105,561.75 × 105,561.75
  4. Step 4: Simplify right side
    72,474x = 11,143,283,063.06
  5. Step 5: Solve for x
    x = 11,143,283,063.06/72,474
  6. Step 6: Final answer
    x = 153,755.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.