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Finding the Third Proportional to 96,234 and 138,620

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Solution

The third proportional to 96,234 and 138,620 is: 199,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234 : 138,620 = 138,620 : x
  2. Step 2: Convert to fraction form
    96,234/138,620 = 138,620/x
  3. Step 3: Cross multiply
    96,234x = 138,620 × 138,620
  4. Step 4: Simplify right side
    96,234x = 19,215,504,400
  5. Step 5: Solve for x
    x = 19,215,504,400/96,234
  6. Step 6: Final answer
    x = 199,674.80

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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.