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Finding the Third Proportional to 43,734 and 90,580

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Solution

The third proportional to 43,734 and 90,580 is: 187,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734 : 90,580 = 90,580 : x
  2. Step 2: Convert to fraction form
    43,734/90,580 = 90,580/x
  3. Step 3: Cross multiply
    43,734x = 90,580 × 90,580
  4. Step 4: Simplify right side
    43,734x = 8,204,736,400
  5. Step 5: Solve for x
    x = 8,204,736,400/43,734
  6. Step 6: Final answer
    x = 187,605.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.