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Finding the Third Proportional to 79,829.38 and 133,043.25

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Solution

The third proportional to 79,829.38 and 133,043.25 is: 221,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,829.38 : 133,043.25 = 133,043.25 : x
  2. Step 2: Convert to fraction form
    79,829.38/133,043.25 = 133,043.25/x
  3. Step 3: Cross multiply
    79,829.38x = 133,043.25 × 133,043.25
  4. Step 4: Simplify right side
    79,829.38x = 17,700,506,370.56
  5. Step 5: Solve for x
    x = 17,700,506,370.56/79,829.38
  6. Step 6: Final answer
    x = 221,729.24

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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.