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Finding the Third Proportional to 43,920 and 94,510.50

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Solution

The third proportional to 43,920 and 94,510.50 is: 203,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 94,510.50 = 94,510.50 : x
  2. Step 2: Convert to fraction form
    43,920/94,510.50 = 94,510.50/x
  3. Step 3: Cross multiply
    43,920x = 94,510.50 × 94,510.50
  4. Step 4: Simplify right side
    43,920x = 8,932,234,610.25
  5. Step 5: Solve for x
    x = 8,932,234,610.25/43,920
  6. Step 6: Final answer
    x = 203,375.10

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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.