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Finding the Third Proportional to 57,363 and 125,805

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Solution

The third proportional to 57,363 and 125,805 is: 275,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,363 : 125,805 = 125,805 : x
  2. Step 2: Convert to fraction form
    57,363/125,805 = 125,805/x
  3. Step 3: Cross multiply
    57,363x = 125,805 × 125,805
  4. Step 4: Simplify right side
    57,363x = 15,826,898,025
  5. Step 5: Solve for x
    x = 15,826,898,025/57,363
  6. Step 6: Final answer
    x = 275,907.78

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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.