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Finding the Third Proportional to 88,364 and 133,831

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Solution

The third proportional to 88,364 and 133,831 is: 202,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,364 : 133,831 = 133,831 : x
  2. Step 2: Convert to fraction form
    88,364/133,831 = 133,831/x
  3. Step 3: Cross multiply
    88,364x = 133,831 × 133,831
  4. Step 4: Simplify right side
    88,364x = 17,910,736,561
  5. Step 5: Solve for x
    x = 17,910,736,561/88,364
  6. Step 6: Final answer
    x = 202,692.69

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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.