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Finding the Third Proportional to 125,193 and 270,046

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Solution

The third proportional to 125,193 and 270,046 is: 582,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,193 : 270,046 = 270,046 : x
  2. Step 2: Convert to fraction form
    125,193/270,046 = 270,046/x
  3. Step 3: Cross multiply
    125,193x = 270,046 × 270,046
  4. Step 4: Simplify right side
    125,193x = 72,924,842,116
  5. Step 5: Solve for x
    x = 72,924,842,116/125,193
  6. Step 6: Final answer
    x = 582,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.