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Finding the Third Proportional to 92,112 and 201,762

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Solution

The third proportional to 92,112 and 201,762 is: 441,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112 : 201,762 = 201,762 : x
  2. Step 2: Convert to fraction form
    92,112/201,762 = 201,762/x
  3. Step 3: Cross multiply
    92,112x = 201,762 × 201,762
  4. Step 4: Simplify right side
    92,112x = 40,707,904,644
  5. Step 5: Solve for x
    x = 40,707,904,644/92,112
  6. Step 6: Final answer
    x = 441,939.21

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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.