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Finding the Third Proportional to 125,904 and 270,443

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Solution

The third proportional to 125,904 and 270,443 is: 580,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,904 : 270,443 = 270,443 : x
  2. Step 2: Convert to fraction form
    125,904/270,443 = 270,443/x
  3. Step 3: Cross multiply
    125,904x = 270,443 × 270,443
  4. Step 4: Simplify right side
    125,904x = 73,139,416,249
  5. Step 5: Solve for x
    x = 73,139,416,249/125,904
  6. Step 6: Final answer
    x = 580,914.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.