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Finding the Third Proportional to 34,694 and 75,221

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Solution

The third proportional to 34,694 and 75,221 is: 163,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694 : 75,221 = 75,221 : x
  2. Step 2: Convert to fraction form
    34,694/75,221 = 75,221/x
  3. Step 3: Cross multiply
    34,694x = 75,221 × 75,221
  4. Step 4: Simplify right side
    34,694x = 5,658,198,841
  5. Step 5: Solve for x
    x = 5,658,198,841/34,694
  6. Step 6: Final answer
    x = 163,088.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.