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Finding the Third Proportional to 48,991.50 and 105,759

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Solution

The third proportional to 48,991.50 and 105,759 is: 228,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,991.50 : 105,759 = 105,759 : x
  2. Step 2: Convert to fraction form
    48,991.50/105,759 = 105,759/x
  3. Step 3: Cross multiply
    48,991.50x = 105,759 × 105,759
  4. Step 4: Simplify right side
    48,991.50x = 11,184,966,081
  5. Step 5: Solve for x
    x = 11,184,966,081/48,991.50
  6. Step 6: Final answer
    x = 228,304.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.