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Finding the Third Proportional to 96,232 and 138,619

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Solution

The third proportional to 96,232 and 138,619 is: 199,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232 : 138,619 = 138,619 : x
  2. Step 2: Convert to fraction form
    96,232/138,619 = 138,619/x
  3. Step 3: Cross multiply
    96,232x = 138,619 × 138,619
  4. Step 4: Simplify right side
    96,232x = 19,215,227,161
  5. Step 5: Solve for x
    x = 19,215,227,161/96,232
  6. Step 6: Final answer
    x = 199,676.07

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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.