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Finding the Third Proportional to 121,940 and 185,072

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Solution

The third proportional to 121,940 and 185,072 is: 280,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,940 : 185,072 = 185,072 : x
  2. Step 2: Convert to fraction form
    121,940/185,072 = 185,072/x
  3. Step 3: Cross multiply
    121,940x = 185,072 × 185,072
  4. Step 4: Simplify right side
    121,940x = 34,251,645,184
  5. Step 5: Solve for x
    x = 34,251,645,184/121,940
  6. Step 6: Final answer
    x = 280,889.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.