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Finding the Third Proportional to 43,581 and 88,350

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Solution

The third proportional to 43,581 and 88,350 is: 179,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,581 : 88,350 = 88,350 : x
  2. Step 2: Convert to fraction form
    43,581/88,350 = 88,350/x
  3. Step 3: Cross multiply
    43,581x = 88,350 × 88,350
  4. Step 4: Simplify right side
    43,581x = 7,805,722,500
  5. Step 5: Solve for x
    x = 7,805,722,500/43,581
  6. Step 6: Final answer
    x = 179,108.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.