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Finding the Third Proportional to 125,118 and 272,268

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Solution

The third proportional to 125,118 and 272,268 is: 592,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,118 : 272,268 = 272,268 : x
  2. Step 2: Convert to fraction form
    125,118/272,268 = 272,268/x
  3. Step 3: Cross multiply
    125,118x = 272,268 × 272,268
  4. Step 4: Simplify right side
    125,118x = 74,129,863,824
  5. Step 5: Solve for x
    x = 74,129,863,824/125,118
  6. Step 6: Final answer
    x = 592,479.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.