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Finding the Third Proportional to 87,158.50 and 188,141

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Solution

The third proportional to 87,158.50 and 188,141 is: 406,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,158.50 : 188,141 = 188,141 : x
  2. Step 2: Convert to fraction form
    87,158.50/188,141 = 188,141/x
  3. Step 3: Cross multiply
    87,158.50x = 188,141 × 188,141
  4. Step 4: Simplify right side
    87,158.50x = 35,397,035,881
  5. Step 5: Solve for x
    x = 35,397,035,881/87,158.50
  6. Step 6: Final answer
    x = 406,122.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.