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Finding the Third Proportional to 125,021 and 273,505

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Solution

The third proportional to 125,021 and 273,505 is: 598,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,021 : 273,505 = 273,505 : x
  2. Step 2: Convert to fraction form
    125,021/273,505 = 273,505/x
  3. Step 3: Cross multiply
    125,021x = 273,505 × 273,505
  4. Step 4: Simplify right side
    125,021x = 74,804,985,025
  5. Step 5: Solve for x
    x = 74,804,985,025/125,021
  6. Step 6: Final answer
    x = 598,339.36

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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.