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Finding the Third Proportional to 101,206 and 151,259

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Solution

The third proportional to 101,206 and 151,259 is: 226,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206 : 151,259 = 151,259 : x
  2. Step 2: Convert to fraction form
    101,206/151,259 = 151,259/x
  3. Step 3: Cross multiply
    101,206x = 151,259 × 151,259
  4. Step 4: Simplify right side
    101,206x = 22,879,285,081
  5. Step 5: Solve for x
    x = 22,879,285,081/101,206
  6. Step 6: Final answer
    x = 226,066.49

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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.