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Finding the Third Proportional to 87,534 and 190,906

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Solution

The third proportional to 87,534 and 190,906 is: 416,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,534 : 190,906 = 190,906 : x
  2. Step 2: Convert to fraction form
    87,534/190,906 = 190,906/x
  3. Step 3: Cross multiply
    87,534x = 190,906 × 190,906
  4. Step 4: Simplify right side
    87,534x = 36,445,100,836
  5. Step 5: Solve for x
    x = 36,445,100,836/87,534
  6. Step 6: Final answer
    x = 416,353.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.