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Finding the Third Proportional to 119,928 and 173,262

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Solution

The third proportional to 119,928 and 173,262 is: 250,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,928 : 173,262 = 173,262 : x
  2. Step 2: Convert to fraction form
    119,928/173,262 = 173,262/x
  3. Step 3: Cross multiply
    119,928x = 173,262 × 173,262
  4. Step 4: Simplify right side
    119,928x = 30,019,720,644
  5. Step 5: Solve for x
    x = 30,019,720,644/119,928
  6. Step 6: Final answer
    x = 250,314.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.