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Finding the Third Proportional to 89,573 and 195,520

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Solution

The third proportional to 89,573 and 195,520 is: 426,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,573 : 195,520 = 195,520 : x
  2. Step 2: Convert to fraction form
    89,573/195,520 = 195,520/x
  3. Step 3: Cross multiply
    89,573x = 195,520 × 195,520
  4. Step 4: Simplify right side
    89,573x = 38,228,070,400
  5. Step 5: Solve for x
    x = 38,228,070,400/89,573
  6. Step 6: Final answer
    x = 426,781.18

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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.