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Finding the Third Proportional to 125,694 and 273,582

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Solution

The third proportional to 125,694 and 273,582 is: 595,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,694 : 273,582 = 273,582 : x
  2. Step 2: Convert to fraction form
    125,694/273,582 = 273,582/x
  3. Step 3: Cross multiply
    125,694x = 273,582 × 273,582
  4. Step 4: Simplify right side
    125,694x = 74,847,110,724
  5. Step 5: Solve for x
    x = 74,847,110,724/125,694
  6. Step 6: Final answer
    x = 595,470.83

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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.