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Finding the Third Proportional to 122,196 and 182,142

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Solution

The third proportional to 122,196 and 182,142 is: 271,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,196 : 182,142 = 182,142 : x
  2. Step 2: Convert to fraction form
    122,196/182,142 = 182,142/x
  3. Step 3: Cross multiply
    122,196x = 182,142 × 182,142
  4. Step 4: Simplify right side
    122,196x = 33,175,708,164
  5. Step 5: Solve for x
    x = 33,175,708,164/122,196
  6. Step 6: Final answer
    x = 271,495.86

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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.