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Finding the Third Proportional to 49,983 and 106,851

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Solution

The third proportional to 49,983 and 106,851 is: 228,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983 : 106,851 = 106,851 : x
  2. Step 2: Convert to fraction form
    49,983/106,851 = 106,851/x
  3. Step 3: Cross multiply
    49,983x = 106,851 × 106,851
  4. Step 4: Simplify right side
    49,983x = 11,417,136,201
  5. Step 5: Solve for x
    x = 11,417,136,201/49,983
  6. Step 6: Final answer
    x = 228,420.39

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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.