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Finding the Third Proportional to 125,889 and 273,690

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Solution

The third proportional to 125,889 and 273,690 is: 595,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,889 : 273,690 = 273,690 : x
  2. Step 2: Convert to fraction form
    125,889/273,690 = 273,690/x
  3. Step 3: Cross multiply
    125,889x = 273,690 × 273,690
  4. Step 4: Simplify right side
    125,889x = 74,906,216,100
  5. Step 5: Solve for x
    x = 74,906,216,100/125,889
  6. Step 6: Final answer
    x = 595,017.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.