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Finding the Third Proportional to 41,634 and 86,508

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Solution

The third proportional to 41,634 and 86,508 is: 179,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634 : 86,508 = 86,508 : x
  2. Step 2: Convert to fraction form
    41,634/86,508 = 86,508/x
  3. Step 3: Cross multiply
    41,634x = 86,508 × 86,508
  4. Step 4: Simplify right side
    41,634x = 7,483,634,064
  5. Step 5: Solve for x
    x = 7,483,634,064/41,634
  6. Step 6: Final answer
    x = 179,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.