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Finding the Third Proportional to 50,362 and 74,151

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Solution

The third proportional to 50,362 and 74,151 is: 109,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,362 : 74,151 = 74,151 : x
  2. Step 2: Convert to fraction form
    50,362/74,151 = 74,151/x
  3. Step 3: Cross multiply
    50,362x = 74,151 × 74,151
  4. Step 4: Simplify right side
    50,362x = 5,498,370,801
  5. Step 5: Solve for x
    x = 5,498,370,801/50,362
  6. Step 6: Final answer
    x = 109,176.97

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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.