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Finding the Third Proportional to 87,008 and 190,600

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Solution

The third proportional to 87,008 and 190,600 is: 417,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008 : 190,600 = 190,600 : x
  2. Step 2: Convert to fraction form
    87,008/190,600 = 190,600/x
  3. Step 3: Cross multiply
    87,008x = 190,600 × 190,600
  4. Step 4: Simplify right side
    87,008x = 36,328,360,000
  5. Step 5: Solve for x
    x = 36,328,360,000/87,008
  6. Step 6: Final answer
    x = 417,528.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.