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Finding the Third Proportional to 36,398 and 77,169

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Solution

The third proportional to 36,398 and 77,169 is: 163,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,398 : 77,169 = 77,169 : x
  2. Step 2: Convert to fraction form
    36,398/77,169 = 77,169/x
  3. Step 3: Cross multiply
    36,398x = 77,169 × 77,169
  4. Step 4: Simplify right side
    36,398x = 5,955,054,561
  5. Step 5: Solve for x
    x = 5,955,054,561/36,398
  6. Step 6: Final answer
    x = 163,609.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.