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Finding the Third Proportional to 125,181 and 270,033

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Solution

The third proportional to 125,181 and 270,033 is: 582,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,181 : 270,033 = 270,033 : x
  2. Step 2: Convert to fraction form
    125,181/270,033 = 270,033/x
  3. Step 3: Cross multiply
    125,181x = 270,033 × 270,033
  4. Step 4: Simplify right side
    125,181x = 72,917,821,089
  5. Step 5: Solve for x
    x = 72,917,821,089/125,181
  6. Step 6: Final answer
    x = 582,499.11

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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.