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Finding the Third Proportional to 50,432 and 109,735

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Solution

The third proportional to 50,432 and 109,735 is: 238,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432 : 109,735 = 109,735 : x
  2. Step 2: Convert to fraction form
    50,432/109,735 = 109,735/x
  3. Step 3: Cross multiply
    50,432x = 109,735 × 109,735
  4. Step 4: Simplify right side
    50,432x = 12,041,770,225
  5. Step 5: Solve for x
    x = 12,041,770,225/50,432
  6. Step 6: Final answer
    x = 238,772.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.