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Finding the Third Proportional to 75,530 and 176,405

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Solution

The third proportional to 75,530 and 176,405 is: 412,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,530 : 176,405 = 176,405 : x
  2. Step 2: Convert to fraction form
    75,530/176,405 = 176,405/x
  3. Step 3: Cross multiply
    75,530x = 176,405 × 176,405
  4. Step 4: Simplify right side
    75,530x = 31,118,724,025
  5. Step 5: Solve for x
    x = 31,118,724,025/75,530
  6. Step 6: Final answer
    x = 412,004.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.