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Finding the Third Proportional to 79,734.38 and 165,072.94

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Solution

The third proportional to 79,734.38 and 165,072.94 is: 341,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734.38 : 165,072.94 = 165,072.94 : x
  2. Step 2: Convert to fraction form
    79,734.38/165,072.94 = 165,072.94/x
  3. Step 3: Cross multiply
    79,734.38x = 165,072.94 × 165,072.94
  4. Step 4: Simplify right side
    79,734.38x = 27,249,074,694.88
  5. Step 5: Solve for x
    x = 27,249,074,694.88/79,734.38
  6. Step 6: Final answer
    x = 341,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.