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Finding the Third Proportional to 87,038 and 130,227

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Solution

The third proportional to 87,038 and 130,227 is: 194,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,038 : 130,227 = 130,227 : x
  2. Step 2: Convert to fraction form
    87,038/130,227 = 130,227/x
  3. Step 3: Cross multiply
    87,038x = 130,227 × 130,227
  4. Step 4: Simplify right side
    87,038x = 16,959,071,529
  5. Step 5: Solve for x
    x = 16,959,071,529/87,038
  6. Step 6: Final answer
    x = 194,846.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.