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Finding the Third Proportional to 89,874 and 195,603

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Solution

The third proportional to 89,874 and 195,603 is: 425,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,874 : 195,603 = 195,603 : x
  2. Step 2: Convert to fraction form
    89,874/195,603 = 195,603/x
  3. Step 3: Cross multiply
    89,874x = 195,603 × 195,603
  4. Step 4: Simplify right side
    89,874x = 38,260,533,609
  5. Step 5: Solve for x
    x = 38,260,533,609/89,874
  6. Step 6: Final answer
    x = 425,713.04

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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.