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Finding the Third Proportional to 73,727 and 161,253

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Solution

The third proportional to 73,727 and 161,253 is: 352,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,727 : 161,253 = 161,253 : x
  2. Step 2: Convert to fraction form
    73,727/161,253 = 161,253/x
  3. Step 3: Cross multiply
    73,727x = 161,253 × 161,253
  4. Step 4: Simplify right side
    73,727x = 26,002,530,009
  5. Step 5: Solve for x
    x = 26,002,530,009/73,727
  6. Step 6: Final answer
    x = 352,686.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.