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Finding the Third Proportional to 50,072 and 73,240

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Solution

The third proportional to 50,072 and 73,240 is: 107,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072 : 73,240 = 73,240 : x
  2. Step 2: Convert to fraction form
    50,072/73,240 = 73,240/x
  3. Step 3: Cross multiply
    50,072x = 73,240 × 73,240
  4. Step 4: Simplify right side
    50,072x = 5,364,097,600
  5. Step 5: Solve for x
    x = 5,364,097,600/50,072
  6. Step 6: Final answer
    x = 107,127.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.