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Finding the Third Proportional to 79,829.25 and 133,043.63

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Solution

The third proportional to 79,829.25 and 133,043.63 is: 221,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,829.25 : 133,043.63 = 133,043.63 : x
  2. Step 2: Convert to fraction form
    79,829.25/133,043.63 = 133,043.63/x
  3. Step 3: Cross multiply
    79,829.25x = 133,043.63 × 133,043.63
  4. Step 4: Simplify right side
    79,829.25x = 17,700,606,153.14
  5. Step 5: Solve for x
    x = 17,700,606,153.14/79,829.25
  6. Step 6: Final answer
    x = 221,730.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.