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Finding the Third Proportional to 40,933.50 and 88,164

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Solution

The third proportional to 40,933.50 and 88,164 is: 189,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,933.50 : 88,164 = 88,164 : x
  2. Step 2: Convert to fraction form
    40,933.50/88,164 = 88,164/x
  3. Step 3: Cross multiply
    40,933.50x = 88,164 × 88,164
  4. Step 4: Simplify right side
    40,933.50x = 7,772,890,896
  5. Step 5: Solve for x
    x = 7,772,890,896/40,933.50
  6. Step 6: Final answer
    x = 189,890.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.