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Finding the Third Proportional to 121,648 and 181,656

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Solution

The third proportional to 121,648 and 181,656 is: 271,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648 : 181,656 = 181,656 : x
  2. Step 2: Convert to fraction form
    121,648/181,656 = 181,656/x
  3. Step 3: Cross multiply
    121,648x = 181,656 × 181,656
  4. Step 4: Simplify right side
    121,648x = 32,998,902,336
  5. Step 5: Solve for x
    x = 32,998,902,336/121,648
  6. Step 6: Final answer
    x = 271,265.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.