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Finding the Third Proportional to 48,093.50 and 106,567

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Solution

The third proportional to 48,093.50 and 106,567 is: 236,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,093.50 : 106,567 = 106,567 : x
  2. Step 2: Convert to fraction form
    48,093.50/106,567 = 106,567/x
  3. Step 3: Cross multiply
    48,093.50x = 106,567 × 106,567
  4. Step 4: Simplify right side
    48,093.50x = 11,356,525,489
  5. Step 5: Solve for x
    x = 11,356,525,489/48,093.50
  6. Step 6: Final answer
    x = 236,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.