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Finding the Third Proportional to 70,311 and 151,671.75

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Solution

The third proportional to 70,311 and 151,671.75 is: 327,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311 : 151,671.75 = 151,671.75 : x
  2. Step 2: Convert to fraction form
    70,311/151,671.75 = 151,671.75/x
  3. Step 3: Cross multiply
    70,311x = 151,671.75 × 151,671.75
  4. Step 4: Simplify right side
    70,311x = 23,004,319,748.06
  5. Step 5: Solve for x
    x = 23,004,319,748.06/70,311
  6. Step 6: Final answer
    x = 327,179.53

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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.