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Finding the Third Proportional to 107,523 and 212,397

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Solution

The third proportional to 107,523 and 212,397 is: 419,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,523 : 212,397 = 212,397 : x
  2. Step 2: Convert to fraction form
    107,523/212,397 = 212,397/x
  3. Step 3: Cross multiply
    107,523x = 212,397 × 212,397
  4. Step 4: Simplify right side
    107,523x = 45,112,485,609
  5. Step 5: Solve for x
    x = 45,112,485,609/107,523
  6. Step 6: Final answer
    x = 419,561.26

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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.