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Finding the Third Proportional to 32,562 and 67,302

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Solution

The third proportional to 32,562 and 67,302 is: 139,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562 : 67,302 = 67,302 : x
  2. Step 2: Convert to fraction form
    32,562/67,302 = 67,302/x
  3. Step 3: Cross multiply
    32,562x = 67,302 × 67,302
  4. Step 4: Simplify right side
    32,562x = 4,529,559,204
  5. Step 5: Solve for x
    x = 4,529,559,204/32,562
  6. Step 6: Final answer
    x = 139,105.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.