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Finding the Third Proportional to 62,216 and 132,112

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Solution

The third proportional to 62,216 and 132,112 is: 280,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,216 : 132,112 = 132,112 : x
  2. Step 2: Convert to fraction form
    62,216/132,112 = 132,112/x
  3. Step 3: Cross multiply
    62,216x = 132,112 × 132,112
  4. Step 4: Simplify right side
    62,216x = 17,453,580,544
  5. Step 5: Solve for x
    x = 17,453,580,544/62,216
  6. Step 6: Final answer
    x = 280,532.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.