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Finding the Third Proportional to 125,556 and 268,392

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Solution

The third proportional to 125,556 and 268,392 is: 573,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,556 : 268,392 = 268,392 : x
  2. Step 2: Convert to fraction form
    125,556/268,392 = 268,392/x
  3. Step 3: Cross multiply
    125,556x = 268,392 × 268,392
  4. Step 4: Simplify right side
    125,556x = 72,034,265,664
  5. Step 5: Solve for x
    x = 72,034,265,664/125,556
  6. Step 6: Final answer
    x = 573,722.21

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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.