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Finding the Third Proportional to 82,073.25 and 176,406.19

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Solution

The third proportional to 82,073.25 and 176,406.19 is: 379,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,073.25 : 176,406.19 = 176,406.19 : x
  2. Step 2: Convert to fraction form
    82,073.25/176,406.19 = 176,406.19/x
  3. Step 3: Cross multiply
    82,073.25x = 176,406.19 × 176,406.19
  4. Step 4: Simplify right side
    82,073.25x = 31,119,142,988.29
  5. Step 5: Solve for x
    x = 31,119,142,988.29/82,073.25
  6. Step 6: Final answer
    x = 379,163.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.