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Finding the Third Proportional to 75,345 and 161,176

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Solution

The third proportional to 75,345 and 161,176 is: 344,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345 : 161,176 = 161,176 : x
  2. Step 2: Convert to fraction form
    75,345/161,176 = 161,176/x
  3. Step 3: Cross multiply
    75,345x = 161,176 × 161,176
  4. Step 4: Simplify right side
    75,345x = 25,977,702,976
  5. Step 5: Solve for x
    x = 25,977,702,976/75,345
  6. Step 6: Final answer
    x = 344,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.