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Finding the Third Proportional to 121,904 and 182,856

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Solution

The third proportional to 121,904 and 182,856 is: 274,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,904 : 182,856 = 182,856 : x
  2. Step 2: Convert to fraction form
    121,904/182,856 = 182,856/x
  3. Step 3: Cross multiply
    121,904x = 182,856 × 182,856
  4. Step 4: Simplify right side
    121,904x = 33,436,316,736
  5. Step 5: Solve for x
    x = 33,436,316,736/121,904
  6. Step 6: Final answer
    x = 274,284

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.