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Finding the Third Proportional to 50,365 and 106,712

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Solution

The third proportional to 50,365 and 106,712 is: 226,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365 : 106,712 = 106,712 : x
  2. Step 2: Convert to fraction form
    50,365/106,712 = 106,712/x
  3. Step 3: Cross multiply
    50,365x = 106,712 × 106,712
  4. Step 4: Simplify right side
    50,365x = 11,387,450,944
  5. Step 5: Solve for x
    x = 11,387,450,944/50,365
  6. Step 6: Final answer
    x = 226,098.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.