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Finding the Third Proportional to 70,287.75 and 151,647.19

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Solution

The third proportional to 70,287.75 and 151,647.19 is: 327,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.75 : 151,647.19 = 151,647.19 : x
  2. Step 2: Convert to fraction form
    70,287.75/151,647.19 = 151,647.19/x
  3. Step 3: Cross multiply
    70,287.75x = 151,647.19 × 151,647.19
  4. Step 4: Simplify right side
    70,287.75x = 22,996,869,476.66
  5. Step 5: Solve for x
    x = 22,996,869,476.66/70,287.75
  6. Step 6: Final answer
    x = 327,181.76

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Why These Related Problems?

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