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Finding the Third Proportional to 72,538.88 and 110,955.38

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Solution

The third proportional to 72,538.88 and 110,955.38 is: 169,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.88 : 110,955.38 = 110,955.38 : x
  2. Step 2: Convert to fraction form
    72,538.88/110,955.38 = 110,955.38/x
  3. Step 3: Cross multiply
    72,538.88x = 110,955.38 × 110,955.38
  4. Step 4: Simplify right side
    72,538.88x = 12,311,095,241.39
  5. Step 5: Solve for x
    x = 12,311,095,241.39/72,538.88
  6. Step 6: Final answer
    x = 169,717.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.