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Finding the Third Proportional to 125,620 and 273,787

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Solution

The third proportional to 125,620 and 273,787 is: 596,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,620 : 273,787 = 273,787 : x
  2. Step 2: Convert to fraction form
    125,620/273,787 = 273,787/x
  3. Step 3: Cross multiply
    125,620x = 273,787 × 273,787
  4. Step 4: Simplify right side
    125,620x = 74,959,321,369
  5. Step 5: Solve for x
    x = 74,959,321,369/125,620
  6. Step 6: Final answer
    x = 596,714.87

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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.