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Finding the Third Proportional to 43,717.50 and 100,921.50

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Solution

The third proportional to 43,717.50 and 100,921.50 is: 232,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,717.50 : 100,921.50 = 100,921.50 : x
  2. Step 2: Convert to fraction form
    43,717.50/100,921.50 = 100,921.50/x
  3. Step 3: Cross multiply
    43,717.50x = 100,921.50 × 100,921.50
  4. Step 4: Simplify right side
    43,717.50x = 10,185,149,162.25
  5. Step 5: Solve for x
    x = 10,185,149,162.25/43,717.50
  6. Step 6: Final answer
    x = 232,976.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.