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Finding the Third Proportional to 119,904 and 252,144

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Solution

The third proportional to 119,904 and 252,144 is: 530,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 252,144 = 252,144 : x
  2. Step 2: Convert to fraction form
    119,904/252,144 = 252,144/x
  3. Step 3: Cross multiply
    119,904x = 252,144 × 252,144
  4. Step 4: Simplify right side
    119,904x = 63,576,596,736
  5. Step 5: Solve for x
    x = 63,576,596,736/119,904
  6. Step 6: Final answer
    x = 530,229.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.