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Finding the Third Proportional to 125,349 and 273,563

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Solution

The third proportional to 125,349 and 273,563 is: 597,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,349 : 273,563 = 273,563 : x
  2. Step 2: Convert to fraction form
    125,349/273,563 = 273,563/x
  3. Step 3: Cross multiply
    125,349x = 273,563 × 273,563
  4. Step 4: Simplify right side
    125,349x = 74,836,714,969
  5. Step 5: Solve for x
    x = 74,836,714,969/125,349
  6. Step 6: Final answer
    x = 597,026.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.