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Finding the Third Proportional to 80,078.63 and 170,034.19

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Solution

The third proportional to 80,078.63 and 170,034.19 is: 361,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,078.63 : 170,034.19 = 170,034.19 : x
  2. Step 2: Convert to fraction form
    80,078.63/170,034.19 = 170,034.19/x
  3. Step 3: Cross multiply
    80,078.63x = 170,034.19 × 170,034.19
  4. Step 4: Simplify right side
    80,078.63x = 28,911,624,918.79
  5. Step 5: Solve for x
    x = 28,911,624,918.79/80,078.63
  6. Step 6: Final answer
    x = 361,040.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.