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Finding the Third Proportional to 87,376 and 189,044

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Solution

The third proportional to 87,376 and 189,044 is: 409,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,376 : 189,044 = 189,044 : x
  2. Step 2: Convert to fraction form
    87,376/189,044 = 189,044/x
  3. Step 3: Cross multiply
    87,376x = 189,044 × 189,044
  4. Step 4: Simplify right side
    87,376x = 35,737,633,936
  5. Step 5: Solve for x
    x = 35,737,633,936/87,376
  6. Step 6: Final answer
    x = 409,009.73

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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.