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Finding the Third Proportional to 125,656 and 273,504

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Solution

The third proportional to 125,656 and 273,504 is: 595,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,656 : 273,504 = 273,504 : x
  2. Step 2: Convert to fraction form
    125,656/273,504 = 273,504/x
  3. Step 3: Cross multiply
    125,656x = 273,504 × 273,504
  4. Step 4: Simplify right side
    125,656x = 74,804,438,016
  5. Step 5: Solve for x
    x = 74,804,438,016/125,656
  6. Step 6: Final answer
    x = 595,311.31

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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.