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Finding the Third Proportional to 63,212 and 94,638

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Solution

The third proportional to 63,212 and 94,638 is: 141,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 94,638 = 94,638 : x
  2. Step 2: Convert to fraction form
    63,212/94,638 = 94,638/x
  3. Step 3: Cross multiply
    63,212x = 94,638 × 94,638
  4. Step 4: Simplify right side
    63,212x = 8,956,351,044
  5. Step 5: Solve for x
    x = 8,956,351,044/63,212
  6. Step 6: Final answer
    x = 141,687.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.