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Finding the Third Proportional to 72,935 and 161,179

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Solution

The third proportional to 72,935 and 161,179 is: 356,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,935 : 161,179 = 161,179 : x
  2. Step 2: Convert to fraction form
    72,935/161,179 = 161,179/x
  3. Step 3: Cross multiply
    72,935x = 161,179 × 161,179
  4. Step 4: Simplify right side
    72,935x = 25,978,670,041
  5. Step 5: Solve for x
    x = 25,978,670,041/72,935
  6. Step 6: Final answer
    x = 356,189.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.