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Finding the Third Proportional to 89,512 and 195,001

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Solution

The third proportional to 89,512 and 195,001 is: 424,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,512 : 195,001 = 195,001 : x
  2. Step 2: Convert to fraction form
    89,512/195,001 = 195,001/x
  3. Step 3: Cross multiply
    89,512x = 195,001 × 195,001
  4. Step 4: Simplify right side
    89,512x = 38,025,390,001
  5. Step 5: Solve for x
    x = 38,025,390,001/89,512
  6. Step 6: Final answer
    x = 424,807.74

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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.