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Finding the Third Proportional to 43,902 and 85,580

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Solution

The third proportional to 43,902 and 85,580 is: 166,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 85,580 = 85,580 : x
  2. Step 2: Convert to fraction form
    43,902/85,580 = 85,580/x
  3. Step 3: Cross multiply
    43,902x = 85,580 × 85,580
  4. Step 4: Simplify right side
    43,902x = 7,323,936,400
  5. Step 5: Solve for x
    x = 7,323,936,400/43,902
  6. Step 6: Final answer
    x = 166,824.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.