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Finding the Third Proportional to 45,178 and 60,375.75

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Solution

The third proportional to 45,178 and 60,375.75 is: 80,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,178 : 60,375.75 = 60,375.75 : x
  2. Step 2: Convert to fraction form
    45,178/60,375.75 = 60,375.75/x
  3. Step 3: Cross multiply
    45,178x = 60,375.75 × 60,375.75
  4. Step 4: Simplify right side
    45,178x = 3,645,231,188.06
  5. Step 5: Solve for x
    x = 3,645,231,188.06/45,178
  6. Step 6: Final answer
    x = 80,685.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.