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Finding the Third Proportional to 110,162 and 148,634.25

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Solution

The third proportional to 110,162 and 148,634.25 is: 200,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162 : 148,634.25 = 148,634.25 : x
  2. Step 2: Convert to fraction form
    110,162/148,634.25 = 148,634.25/x
  3. Step 3: Cross multiply
    110,162x = 148,634.25 × 148,634.25
  4. Step 4: Simplify right side
    110,162x = 22,092,140,273.06
  5. Step 5: Solve for x
    x = 22,092,140,273.06/110,162
  6. Step 6: Final answer
    x = 200,542.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.