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Finding the Third Proportional to 92,922 and 140,253

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Solution

The third proportional to 92,922 and 140,253 is: 211,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,922 : 140,253 = 140,253 : x
  2. Step 2: Convert to fraction form
    92,922/140,253 = 140,253/x
  3. Step 3: Cross multiply
    92,922x = 140,253 × 140,253
  4. Step 4: Simplify right side
    92,922x = 19,670,904,009
  5. Step 5: Solve for x
    x = 19,670,904,009/92,922
  6. Step 6: Final answer
    x = 211,692.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.