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Finding the Third Proportional to 52,477 and 113,245

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Solution

The third proportional to 52,477 and 113,245 is: 244,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477 : 113,245 = 113,245 : x
  2. Step 2: Convert to fraction form
    52,477/113,245 = 113,245/x
  3. Step 3: Cross multiply
    52,477x = 113,245 × 113,245
  4. Step 4: Simplify right side
    52,477x = 12,824,430,025
  5. Step 5: Solve for x
    x = 12,824,430,025/52,477
  6. Step 6: Final answer
    x = 244,381.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.