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Finding the Third Proportional to 92,261 and 202,126

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Solution

The third proportional to 92,261 and 202,126 is: 442,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,261 : 202,126 = 202,126 : x
  2. Step 2: Convert to fraction form
    92,261/202,126 = 202,126/x
  3. Step 3: Cross multiply
    92,261x = 202,126 × 202,126
  4. Step 4: Simplify right side
    92,261x = 40,854,919,876
  5. Step 5: Solve for x
    x = 40,854,919,876/92,261
  6. Step 6: Final answer
    x = 442,818.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.