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Finding the Third Proportional to 96,850.69 and 129,898.69

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Solution

The third proportional to 96,850.69 and 129,898.69 is: 174,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850.69 : 129,898.69 = 129,898.69 : x
  2. Step 2: Convert to fraction form
    96,850.69/129,898.69 = 129,898.69/x
  3. Step 3: Cross multiply
    96,850.69x = 129,898.69 × 129,898.69
  4. Step 4: Simplify right side
    96,850.69x = 16,873,669,014.22
  5. Step 5: Solve for x
    x = 16,873,669,014.22/96,850.69
  6. Step 6: Final answer
    x = 174,223.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.