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Finding the Third Proportional to 39,422 and 91,169

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Solution

The third proportional to 39,422 and 91,169 is: 210,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422 : 91,169 = 91,169 : x
  2. Step 2: Convert to fraction form
    39,422/91,169 = 91,169/x
  3. Step 3: Cross multiply
    39,422x = 91,169 × 91,169
  4. Step 4: Simplify right side
    39,422x = 8,311,786,561
  5. Step 5: Solve for x
    x = 8,311,786,561/39,422
  6. Step 6: Final answer
    x = 210,841.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.