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Finding the Third Proportional to 96,226.31 and 138,609.75

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Solution

The third proportional to 96,226.31 and 138,609.75 is: 199,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,226.31 : 138,609.75 = 138,609.75 : x
  2. Step 2: Convert to fraction form
    96,226.31/138,609.75 = 138,609.75/x
  3. Step 3: Cross multiply
    96,226.31x = 138,609.75 × 138,609.75
  4. Step 4: Simplify right side
    96,226.31x = 19,212,662,795.06
  5. Step 5: Solve for x
    x = 19,212,662,795.06/96,226.31
  6. Step 6: Final answer
    x = 199,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.