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Finding the Third Proportional to 73,871 and 161,108

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Solution

The third proportional to 73,871 and 161,108 is: 351,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,871 : 161,108 = 161,108 : x
  2. Step 2: Convert to fraction form
    73,871/161,108 = 161,108/x
  3. Step 3: Cross multiply
    73,871x = 161,108 × 161,108
  4. Step 4: Simplify right side
    73,871x = 25,955,787,664
  5. Step 5: Solve for x
    x = 25,955,787,664/73,871
  6. Step 6: Final answer
    x = 351,366.40

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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.