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Finding the Third Proportional to 42,440 and 92,182

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Solution

The third proportional to 42,440 and 92,182 is: 200,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,440 : 92,182 = 92,182 : x
  2. Step 2: Convert to fraction form
    42,440/92,182 = 92,182/x
  3. Step 3: Cross multiply
    42,440x = 92,182 × 92,182
  4. Step 4: Simplify right side
    42,440x = 8,497,521,124
  5. Step 5: Solve for x
    x = 8,497,521,124/42,440
  6. Step 6: Final answer
    x = 200,224.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.