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Finding the Third Proportional to 67,562 and 148,096

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Solution

The third proportional to 67,562 and 148,096 is: 324,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,562 : 148,096 = 148,096 : x
  2. Step 2: Convert to fraction form
    67,562/148,096 = 148,096/x
  3. Step 3: Cross multiply
    67,562x = 148,096 × 148,096
  4. Step 4: Simplify right side
    67,562x = 21,932,425,216
  5. Step 5: Solve for x
    x = 21,932,425,216/67,562
  6. Step 6: Final answer
    x = 324,626.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.