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Finding the Third Proportional to 70,326 and 151,749

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Solution

The third proportional to 70,326 and 151,749 is: 327,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,326 : 151,749 = 151,749 : x
  2. Step 2: Convert to fraction form
    70,326/151,749 = 151,749/x
  3. Step 3: Cross multiply
    70,326x = 151,749 × 151,749
  4. Step 4: Simplify right side
    70,326x = 23,027,759,001
  5. Step 5: Solve for x
    x = 23,027,759,001/70,326
  6. Step 6: Final answer
    x = 327,443.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.