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Finding the Third Proportional to 48,145.50 and 100,665

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Solution

The third proportional to 48,145.50 and 100,665 is: 210,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,145.50 : 100,665 = 100,665 : x
  2. Step 2: Convert to fraction form
    48,145.50/100,665 = 100,665/x
  3. Step 3: Cross multiply
    48,145.50x = 100,665 × 100,665
  4. Step 4: Simplify right side
    48,145.50x = 10,133,442,225
  5. Step 5: Solve for x
    x = 10,133,442,225/48,145.50
  6. Step 6: Final answer
    x = 210,475.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.