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Finding the Third Proportional to 87,733 and 189,495

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Solution

The third proportional to 87,733 and 189,495 is: 409,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733 : 189,495 = 189,495 : x
  2. Step 2: Convert to fraction form
    87,733/189,495 = 189,495/x
  3. Step 3: Cross multiply
    87,733x = 189,495 × 189,495
  4. Step 4: Simplify right side
    87,733x = 35,908,355,025
  5. Step 5: Solve for x
    x = 35,908,355,025/87,733
  6. Step 6: Final answer
    x = 409,291.32

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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.