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Finding the Third Proportional to 107,519 and 212,389

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Solution

The third proportional to 107,519 and 212,389 is: 419,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,519 : 212,389 = 212,389 : x
  2. Step 2: Convert to fraction form
    107,519/212,389 = 212,389/x
  3. Step 3: Cross multiply
    107,519x = 212,389 × 212,389
  4. Step 4: Simplify right side
    107,519x = 45,109,087,321
  5. Step 5: Solve for x
    x = 45,109,087,321/107,519
  6. Step 6: Final answer
    x = 419,545.26

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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.