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Finding the Third Proportional to 92,575 and 201,874

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Solution

The third proportional to 92,575 and 201,874 is: 440,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,575 : 201,874 = 201,874 : x
  2. Step 2: Convert to fraction form
    92,575/201,874 = 201,874/x
  3. Step 3: Cross multiply
    92,575x = 201,874 × 201,874
  4. Step 4: Simplify right side
    92,575x = 40,753,111,876
  5. Step 5: Solve for x
    x = 40,753,111,876/92,575
  6. Step 6: Final answer
    x = 440,217.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.