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Finding the Third Proportional to 92,751 and 202,062

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Solution

The third proportional to 92,751 and 202,062 is: 440,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,751 : 202,062 = 202,062 : x
  2. Step 2: Convert to fraction form
    92,751/202,062 = 202,062/x
  3. Step 3: Cross multiply
    92,751x = 202,062 × 202,062
  4. Step 4: Simplify right side
    92,751x = 40,829,051,844
  5. Step 5: Solve for x
    x = 40,829,051,844/92,751
  6. Step 6: Final answer
    x = 440,200.66

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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.