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Finding the Third Proportional to 74,343.94 and 111,538.69

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Solution

The third proportional to 74,343.94 and 111,538.69 is: 167,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,343.94 : 111,538.69 = 111,538.69 : x
  2. Step 2: Convert to fraction form
    74,343.94/111,538.69 = 111,538.69/x
  3. Step 3: Cross multiply
    74,343.94x = 111,538.69 × 111,538.69
  4. Step 4: Simplify right side
    74,343.94x = 12,440,878,809.22
  5. Step 5: Solve for x
    x = 12,440,878,809.22/74,343.94
  6. Step 6: Final answer
    x = 167,342.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.