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Finding the Third Proportional to 87,363 and 130,902.75

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Solution

The third proportional to 87,363 and 130,902.75 is: 196,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,363 : 130,902.75 = 130,902.75 : x
  2. Step 2: Convert to fraction form
    87,363/130,902.75 = 130,902.75/x
  3. Step 3: Cross multiply
    87,363x = 130,902.75 × 130,902.75
  4. Step 4: Simplify right side
    87,363x = 17,135,529,957.56
  5. Step 5: Solve for x
    x = 17,135,529,957.56/87,363
  6. Step 6: Final answer
    x = 196,141.73

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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.