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Finding the Third Proportional to 87,650 and 189,094

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Solution

The third proportional to 87,650 and 189,094 is: 407,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,650 : 189,094 = 189,094 : x
  2. Step 2: Convert to fraction form
    87,650/189,094 = 189,094/x
  3. Step 3: Cross multiply
    87,650x = 189,094 × 189,094
  4. Step 4: Simplify right side
    87,650x = 35,756,540,836
  5. Step 5: Solve for x
    x = 35,756,540,836/87,650
  6. Step 6: Final answer
    x = 407,946.84

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Why These Related Problems?

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