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Finding the Third Proportional to 75,421.34 and 111,827.46

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Solution

The third proportional to 75,421.34 and 111,827.46 is: 165,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.34 : 111,827.46 = 111,827.46 : x
  2. Step 2: Convert to fraction form
    75,421.34/111,827.46 = 111,827.46/x
  3. Step 3: Cross multiply
    75,421.34x = 111,827.46 × 111,827.46
  4. Step 4: Simplify right side
    75,421.34x = 12,505,381,019.73
  5. Step 5: Solve for x
    x = 12,505,381,019.73/75,421.34
  6. Step 6: Final answer
    x = 165,806.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.