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Finding the Third Proportional to 92,657 and 202,042

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Solution

The third proportional to 92,657 and 202,042 is: 440,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,657 : 202,042 = 202,042 : x
  2. Step 2: Convert to fraction form
    92,657/202,042 = 202,042/x
  3. Step 3: Cross multiply
    92,657x = 202,042 × 202,042
  4. Step 4: Simplify right side
    92,657x = 40,820,969,764
  5. Step 5: Solve for x
    x = 40,820,969,764/92,657
  6. Step 6: Final answer
    x = 440,560.02

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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.