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Finding the Third Proportional to 107,514 and 212,381

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Solution

The third proportional to 107,514 and 212,381 is: 419,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,514 : 212,381 = 212,381 : x
  2. Step 2: Convert to fraction form
    107,514/212,381 = 212,381/x
  3. Step 3: Cross multiply
    107,514x = 212,381 × 212,381
  4. Step 4: Simplify right side
    107,514x = 45,105,689,161
  5. Step 5: Solve for x
    x = 45,105,689,161/107,514
  6. Step 6: Final answer
    x = 419,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.