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Finding the Third Proportional to 47,712 and 104,982

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Solution

The third proportional to 47,712 and 104,982 is: 230,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 104,982 = 104,982 : x
  2. Step 2: Convert to fraction form
    47,712/104,982 = 104,982/x
  3. Step 3: Cross multiply
    47,712x = 104,982 × 104,982
  4. Step 4: Simplify right side
    47,712x = 11,021,220,324
  5. Step 5: Solve for x
    x = 11,021,220,324/47,712
  6. Step 6: Final answer
    x = 230,994.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.