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Finding the Third Proportional to 49,545 and 106,002

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Solution

The third proportional to 49,545 and 106,002 is: 226,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,545 : 106,002 = 106,002 : x
  2. Step 2: Convert to fraction form
    49,545/106,002 = 106,002/x
  3. Step 3: Cross multiply
    49,545x = 106,002 × 106,002
  4. Step 4: Simplify right side
    49,545x = 11,236,424,004
  5. Step 5: Solve for x
    x = 11,236,424,004/49,545
  6. Step 6: Final answer
    x = 226,792.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.