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Finding the Third Proportional to 122,720 and 182,352

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Solution

The third proportional to 122,720 and 182,352 is: 270,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,720 : 182,352 = 182,352 : x
  2. Step 2: Convert to fraction form
    122,720/182,352 = 182,352/x
  3. Step 3: Cross multiply
    122,720x = 182,352 × 182,352
  4. Step 4: Simplify right side
    122,720x = 33,252,251,904
  5. Step 5: Solve for x
    x = 33,252,251,904/122,720
  6. Step 6: Final answer
    x = 270,960.33

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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.