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Finding the Third Proportional to 107,613 and 212,472

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Solution

The third proportional to 107,613 and 212,472 is: 419,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,613 : 212,472 = 212,472 : x
  2. Step 2: Convert to fraction form
    107,613/212,472 = 212,472/x
  3. Step 3: Cross multiply
    107,613x = 212,472 × 212,472
  4. Step 4: Simplify right side
    107,613x = 45,144,350,784
  5. Step 5: Solve for x
    x = 45,144,350,784/107,613
  6. Step 6: Final answer
    x = 419,506.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.