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Finding the Third Proportional to 63,523 and 135,797

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Solution

The third proportional to 63,523 and 135,797 is: 290,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,523 : 135,797 = 135,797 : x
  2. Step 2: Convert to fraction form
    63,523/135,797 = 135,797/x
  3. Step 3: Cross multiply
    63,523x = 135,797 × 135,797
  4. Step 4: Simplify right side
    63,523x = 18,440,825,209
  5. Step 5: Solve for x
    x = 18,440,825,209/63,523
  6. Step 6: Final answer
    x = 290,301.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.