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Finding the Third Proportional to 106,384 and 161,880

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Solution

The third proportional to 106,384 and 161,880 is: 246,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384 : 161,880 = 161,880 : x
  2. Step 2: Convert to fraction form
    106,384/161,880 = 161,880/x
  3. Step 3: Cross multiply
    106,384x = 161,880 × 161,880
  4. Step 4: Simplify right side
    106,384x = 26,205,134,400
  5. Step 5: Solve for x
    x = 26,205,134,400/106,384
  6. Step 6: Final answer
    x = 246,325.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.