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Finding the Third Proportional to 92,713 and 201,950

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Solution

The third proportional to 92,713 and 201,950 is: 439,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,713 : 201,950 = 201,950 : x
  2. Step 2: Convert to fraction form
    92,713/201,950 = 201,950/x
  3. Step 3: Cross multiply
    92,713x = 201,950 × 201,950
  4. Step 4: Simplify right side
    92,713x = 40,783,802,500
  5. Step 5: Solve for x
    x = 40,783,802,500/92,713
  6. Step 6: Final answer
    x = 439,893.03

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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.