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Finding the Third Proportional to 96,296.50 and 138,706.50

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Solution

The third proportional to 96,296.50 and 138,706.50 is: 199,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,296.50 : 138,706.50 = 138,706.50 : x
  2. Step 2: Convert to fraction form
    96,296.50/138,706.50 = 138,706.50/x
  3. Step 3: Cross multiply
    96,296.50x = 138,706.50 × 138,706.50
  4. Step 4: Simplify right side
    96,296.50x = 19,239,493,142.25
  5. Step 5: Solve for x
    x = 19,239,493,142.25/96,296.50
  6. Step 6: Final answer
    x = 199,794.31

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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.