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Finding the Third Proportional to 48,966 and 106,242

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Solution

The third proportional to 48,966 and 106,242 is: 230,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,966 : 106,242 = 106,242 : x
  2. Step 2: Convert to fraction form
    48,966/106,242 = 106,242/x
  3. Step 3: Cross multiply
    48,966x = 106,242 × 106,242
  4. Step 4: Simplify right side
    48,966x = 11,287,362,564
  5. Step 5: Solve for x
    x = 11,287,362,564/48,966
  6. Step 6: Final answer
    x = 230,514.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.