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Finding the Third Proportional to 43,015 and 92,622.50

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Solution

The third proportional to 43,015 and 92,622.50 is: 199,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,015 : 92,622.50 = 92,622.50 : x
  2. Step 2: Convert to fraction form
    43,015/92,622.50 = 92,622.50/x
  3. Step 3: Cross multiply
    43,015x = 92,622.50 × 92,622.50
  4. Step 4: Simplify right side
    43,015x = 8,578,927,506.25
  5. Step 5: Solve for x
    x = 8,578,927,506.25/43,015
  6. Step 6: Final answer
    x = 199,440.37

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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.