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Finding the Third Proportional to 83,134.69 and 174,651.19

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Solution

The third proportional to 83,134.69 and 174,651.19 is: 366,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.69 : 174,651.19 = 174,651.19 : x
  2. Step 2: Convert to fraction form
    83,134.69/174,651.19 = 174,651.19/x
  3. Step 3: Cross multiply
    83,134.69x = 174,651.19 × 174,651.19
  4. Step 4: Simplify right side
    83,134.69x = 30,503,037,295.16
  5. Step 5: Solve for x
    x = 30,503,037,295.16/83,134.69
  6. Step 6: Final answer
    x = 366,911.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.