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Finding the Third Proportional to 125,194 and 268,200

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Solution

The third proportional to 125,194 and 268,200 is: 574,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194 : 268,200 = 268,200 : x
  2. Step 2: Convert to fraction form
    125,194/268,200 = 268,200/x
  3. Step 3: Cross multiply
    125,194x = 268,200 × 268,200
  4. Step 4: Simplify right side
    125,194x = 71,931,240,000
  5. Step 5: Solve for x
    x = 71,931,240,000/125,194
  6. Step 6: Final answer
    x = 574,558.21

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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.