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Finding the Third Proportional to 74,224 and 111,332

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Solution

The third proportional to 74,224 and 111,332 is: 166,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224 : 111,332 = 111,332 : x
  2. Step 2: Convert to fraction form
    74,224/111,332 = 111,332/x
  3. Step 3: Cross multiply
    74,224x = 111,332 × 111,332
  4. Step 4: Simplify right side
    74,224x = 12,394,814,224
  5. Step 5: Solve for x
    x = 12,394,814,224/74,224
  6. Step 6: Final answer
    x = 166,992.00

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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.