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Finding the Third Proportional to 48,399.75 and 105,729.75

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Solution

The third proportional to 48,399.75 and 105,729.75 is: 230,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399.75 : 105,729.75 = 105,729.75 : x
  2. Step 2: Convert to fraction form
    48,399.75/105,729.75 = 105,729.75/x
  3. Step 3: Cross multiply
    48,399.75x = 105,729.75 × 105,729.75
  4. Step 4: Simplify right side
    48,399.75x = 11,178,780,035.06
  5. Step 5: Solve for x
    x = 11,178,780,035.06/48,399.75
  6. Step 6: Final answer
    x = 230,967.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.