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Finding the Third Proportional to 73,827 and 161,185

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Solution

The third proportional to 73,827 and 161,185 is: 351,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,827 : 161,185 = 161,185 : x
  2. Step 2: Convert to fraction form
    73,827/161,185 = 161,185/x
  3. Step 3: Cross multiply
    73,827x = 161,185 × 161,185
  4. Step 4: Simplify right side
    73,827x = 25,980,604,225
  5. Step 5: Solve for x
    x = 25,980,604,225/73,827
  6. Step 6: Final answer
    x = 351,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.