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Finding the Third Proportional to 43,000 and 91,203.50

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Solution

The third proportional to 43,000 and 91,203.50 is: 193,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,000 : 91,203.50 = 91,203.50 : x
  2. Step 2: Convert to fraction form
    43,000/91,203.50 = 91,203.50/x
  3. Step 3: Cross multiply
    43,000x = 91,203.50 × 91,203.50
  4. Step 4: Simplify right side
    43,000x = 8,318,078,412.25
  5. Step 5: Solve for x
    x = 8,318,078,412.25/43,000
  6. Step 6: Final answer
    x = 193,443.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.