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Finding the Third Proportional to 89,514 and 197,025

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Solution

The third proportional to 89,514 and 197,025 is: 433,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,514 : 197,025 = 197,025 : x
  2. Step 2: Convert to fraction form
    89,514/197,025 = 197,025/x
  3. Step 3: Cross multiply
    89,514x = 197,025 × 197,025
  4. Step 4: Simplify right side
    89,514x = 38,818,850,625
  5. Step 5: Solve for x
    x = 38,818,850,625/89,514
  6. Step 6: Final answer
    x = 433,662.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.