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Finding the Third Proportional to 89,652 and 195,080

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Solution

The third proportional to 89,652 and 195,080 is: 424,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,652 : 195,080 = 195,080 : x
  2. Step 2: Convert to fraction form
    89,652/195,080 = 195,080/x
  3. Step 3: Cross multiply
    89,652x = 195,080 × 195,080
  4. Step 4: Simplify right side
    89,652x = 38,056,206,400
  5. Step 5: Solve for x
    x = 38,056,206,400/89,652
  6. Step 6: Final answer
    x = 424,488.09

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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.