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Finding the Third Proportional to 111,105 and 162,769.50

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Solution

The third proportional to 111,105 and 162,769.50 is: 238,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,105 : 162,769.50 = 162,769.50 : x
  2. Step 2: Convert to fraction form
    111,105/162,769.50 = 162,769.50/x
  3. Step 3: Cross multiply
    111,105x = 162,769.50 × 162,769.50
  4. Step 4: Simplify right side
    111,105x = 26,493,910,130.25
  5. Step 5: Solve for x
    x = 26,493,910,130.25/111,105
  6. Step 6: Final answer
    x = 238,458.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.