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Finding the Third Proportional to 62,096 and 127,072

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Solution

The third proportional to 62,096 and 127,072 is: 260,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,096 : 127,072 = 127,072 : x
  2. Step 2: Convert to fraction form
    62,096/127,072 = 127,072/x
  3. Step 3: Cross multiply
    62,096x = 127,072 × 127,072
  4. Step 4: Simplify right side
    62,096x = 16,147,293,184
  5. Step 5: Solve for x
    x = 16,147,293,184/62,096
  6. Step 6: Final answer
    x = 260,037.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.