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Finding the Third Proportional to 125,226 and 268,254

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Solution

The third proportional to 125,226 and 268,254 is: 574,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 268,254 = 268,254 : x
  2. Step 2: Convert to fraction form
    125,226/268,254 = 268,254/x
  3. Step 3: Cross multiply
    125,226x = 268,254 × 268,254
  4. Step 4: Simplify right side
    125,226x = 71,960,208,516
  5. Step 5: Solve for x
    x = 71,960,208,516/125,226
  6. Step 6: Final answer
    x = 574,642.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.