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Finding the Third Proportional to 88,635 and 133,015.50

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Solution

The third proportional to 88,635 and 133,015.50 is: 199,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,635 : 133,015.50 = 133,015.50 : x
  2. Step 2: Convert to fraction form
    88,635/133,015.50 = 133,015.50/x
  3. Step 3: Cross multiply
    88,635x = 133,015.50 × 133,015.50
  4. Step 4: Simplify right side
    88,635x = 17,693,123,240.25
  5. Step 5: Solve for x
    x = 17,693,123,240.25/88,635
  6. Step 6: Final answer
    x = 199,617.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.