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Finding the Third Proportional to 50,502 and 74,781

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Solution

The third proportional to 50,502 and 74,781 is: 110,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502 : 74,781 = 74,781 : x
  2. Step 2: Convert to fraction form
    50,502/74,781 = 74,781/x
  3. Step 3: Cross multiply
    50,502x = 74,781 × 74,781
  4. Step 4: Simplify right side
    50,502x = 5,592,197,961
  5. Step 5: Solve for x
    x = 5,592,197,961/50,502
  6. Step 6: Final answer
    x = 110,732.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.