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Finding the Third Proportional to 125,644 and 273,449

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Solution

The third proportional to 125,644 and 273,449 is: 595,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,644 : 273,449 = 273,449 : x
  2. Step 2: Convert to fraction form
    125,644/273,449 = 273,449/x
  3. Step 3: Cross multiply
    125,644x = 273,449 × 273,449
  4. Step 4: Simplify right side
    125,644x = 74,774,355,601
  5. Step 5: Solve for x
    x = 74,774,355,601/125,644
  6. Step 6: Final answer
    x = 595,128.74

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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.