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Finding the Third Proportional to 125,636 and 273,396

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Solution

The third proportional to 125,636 and 273,396 is: 594,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,636 : 273,396 = 273,396 : x
  2. Step 2: Convert to fraction form
    125,636/273,396 = 273,396/x
  3. Step 3: Cross multiply
    125,636x = 273,396 × 273,396
  4. Step 4: Simplify right side
    125,636x = 74,745,372,816
  5. Step 5: Solve for x
    x = 74,745,372,816/125,636
  6. Step 6: Final answer
    x = 594,935.95

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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.