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Finding the Third Proportional to 47,994 and 105,525

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Solution

The third proportional to 47,994 and 105,525 is: 232,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994 : 105,525 = 105,525 : x
  2. Step 2: Convert to fraction form
    47,994/105,525 = 105,525/x
  3. Step 3: Cross multiply
    47,994x = 105,525 × 105,525
  4. Step 4: Simplify right side
    47,994x = 11,135,525,625
  5. Step 5: Solve for x
    x = 11,135,525,625/47,994
  6. Step 6: Final answer
    x = 232,019.12

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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.