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Finding the Third Proportional to 92,236.50 and 138,999.38

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Solution

The third proportional to 92,236.50 and 138,999.38 is: 209,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,236.50 : 138,999.38 = 138,999.38 : x
  2. Step 2: Convert to fraction form
    92,236.50/138,999.38 = 138,999.38/x
  3. Step 3: Cross multiply
    92,236.50x = 138,999.38 × 138,999.38
  4. Step 4: Simplify right side
    92,236.50x = 19,320,826,250.39
  5. Step 5: Solve for x
    x = 19,320,826,250.39/92,236.50
  6. Step 6: Final answer
    x = 209,470.51

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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.