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Finding the Third Proportional to 122,310 and 181,197

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Solution

The third proportional to 122,310 and 181,197 is: 268,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,310 : 181,197 = 181,197 : x
  2. Step 2: Convert to fraction form
    122,310/181,197 = 181,197/x
  3. Step 3: Cross multiply
    122,310x = 181,197 × 181,197
  4. Step 4: Simplify right side
    122,310x = 32,832,352,809
  5. Step 5: Solve for x
    x = 32,832,352,809/122,310
  6. Step 6: Final answer
    x = 268,435.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.