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Finding the Third Proportional to 124,171 and 190,259

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Solution

The third proportional to 124,171 and 190,259 is: 291,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,171 : 190,259 = 190,259 : x
  2. Step 2: Convert to fraction form
    124,171/190,259 = 190,259/x
  3. Step 3: Cross multiply
    124,171x = 190,259 × 190,259
  4. Step 4: Simplify right side
    124,171x = 36,198,487,081
  5. Step 5: Solve for x
    x = 36,198,487,081/124,171
  6. Step 6: Final answer
    x = 291,521.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.