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Finding the Third Proportional to 50,780 and 74,435

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Solution

The third proportional to 50,780 and 74,435 is: 109,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,780 : 74,435 = 74,435 : x
  2. Step 2: Convert to fraction form
    50,780/74,435 = 74,435/x
  3. Step 3: Cross multiply
    50,780x = 74,435 × 74,435
  4. Step 4: Simplify right side
    50,780x = 5,540,569,225
  5. Step 5: Solve for x
    x = 5,540,569,225/50,780
  6. Step 6: Final answer
    x = 109,109.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.