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Finding the Third Proportional to 92,512 and 102,232

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Solution

The third proportional to 92,512 and 102,232 is: 112,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,512 : 102,232 = 102,232 : x
  2. Step 2: Convert to fraction form
    92,512/102,232 = 102,232/x
  3. Step 3: Cross multiply
    92,512x = 102,232 × 102,232
  4. Step 4: Simplify right side
    92,512x = 10,451,381,824
  5. Step 5: Solve for x
    x = 10,451,381,824/92,512
  6. Step 6: Final answer
    x = 112,973.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.