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Finding the Third Proportional to 87,762 and 189,534

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Solution

The third proportional to 87,762 and 189,534 is: 409,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,762 : 189,534 = 189,534 : x
  2. Step 2: Convert to fraction form
    87,762/189,534 = 189,534/x
  3. Step 3: Cross multiply
    87,762x = 189,534 × 189,534
  4. Step 4: Simplify right side
    87,762x = 35,923,137,156
  5. Step 5: Solve for x
    x = 35,923,137,156/87,762
  6. Step 6: Final answer
    x = 409,324.50

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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.