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Finding the Third Proportional to 87,846 and 189,033

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Solution

The third proportional to 87,846 and 189,033 is: 406,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,846 : 189,033 = 189,033 : x
  2. Step 2: Convert to fraction form
    87,846/189,033 = 189,033/x
  3. Step 3: Cross multiply
    87,846x = 189,033 × 189,033
  4. Step 4: Simplify right side
    87,846x = 35,733,475,089
  5. Step 5: Solve for x
    x = 35,733,475,089/87,846
  6. Step 6: Final answer
    x = 406,774.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.