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Finding the Third Proportional to 124,837 and 273,025

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Solution

The third proportional to 124,837 and 273,025 is: 597,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,837 : 273,025 = 273,025 : x
  2. Step 2: Convert to fraction form
    124,837/273,025 = 273,025/x
  3. Step 3: Cross multiply
    124,837x = 273,025 × 273,025
  4. Step 4: Simplify right side
    124,837x = 74,542,650,625
  5. Step 5: Solve for x
    x = 74,542,650,625/124,837
  6. Step 6: Final answer
    x = 597,119.85

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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.