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Finding the Third Proportional to 50,763 and 74,413

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Solution

The third proportional to 50,763 and 74,413 is: 109,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,763 : 74,413 = 74,413 : x
  2. Step 2: Convert to fraction form
    50,763/74,413 = 74,413/x
  3. Step 3: Cross multiply
    50,763x = 74,413 × 74,413
  4. Step 4: Simplify right side
    50,763x = 5,537,294,569
  5. Step 5: Solve for x
    x = 5,537,294,569/50,763
  6. Step 6: Final answer
    x = 109,081.31

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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.