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Finding the Third Proportional to 103,635 and 227,025

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Solution

The third proportional to 103,635 and 227,025 is: 497,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 227,025 = 227,025 : x
  2. Step 2: Convert to fraction form
    103,635/227,025 = 227,025/x
  3. Step 3: Cross multiply
    103,635x = 227,025 × 227,025
  4. Step 4: Simplify right side
    103,635x = 51,540,350,625
  5. Step 5: Solve for x
    x = 51,540,350,625/103,635
  6. Step 6: Final answer
    x = 497,325.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.