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Finding the Third Proportional to 50,248 and 76,025

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Solution

The third proportional to 50,248 and 76,025 is: 115,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248 : 76,025 = 76,025 : x
  2. Step 2: Convert to fraction form
    50,248/76,025 = 76,025/x
  3. Step 3: Cross multiply
    50,248x = 76,025 × 76,025
  4. Step 4: Simplify right side
    50,248x = 5,779,800,625
  5. Step 5: Solve for x
    x = 5,779,800,625/50,248
  6. Step 6: Final answer
    x = 115,025.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.