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Finding the Third Proportional to 34,016 and 73,240

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Solution

The third proportional to 34,016 and 73,240 is: 157,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016 : 73,240 = 73,240 : x
  2. Step 2: Convert to fraction form
    34,016/73,240 = 73,240/x
  3. Step 3: Cross multiply
    34,016x = 73,240 × 73,240
  4. Step 4: Simplify right side
    34,016x = 5,364,097,600
  5. Step 5: Solve for x
    x = 5,364,097,600/34,016
  6. Step 6: Final answer
    x = 157,693.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.