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Finding the Third Proportional to 111,733 and 165,426.50

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Solution

The third proportional to 111,733 and 165,426.50 is: 244,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,733 : 165,426.50 = 165,426.50 : x
  2. Step 2: Convert to fraction form
    111,733/165,426.50 = 165,426.50/x
  3. Step 3: Cross multiply
    111,733x = 165,426.50 × 165,426.50
  4. Step 4: Simplify right side
    111,733x = 27,365,926,902.25
  5. Step 5: Solve for x
    x = 27,365,926,902.25/111,733
  6. Step 6: Final answer
    x = 244,922.51

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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.