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Finding the Third Proportional to 101,638.50 and 148,812.75

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Solution

The third proportional to 101,638.50 and 148,812.75 is: 217,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,638.50 : 148,812.75 = 148,812.75 : x
  2. Step 2: Convert to fraction form
    101,638.50/148,812.75 = 148,812.75/x
  3. Step 3: Cross multiply
    101,638.50x = 148,812.75 × 148,812.75
  4. Step 4: Simplify right side
    101,638.50x = 22,145,234,562.56
  5. Step 5: Solve for x
    x = 22,145,234,562.56/101,638.50
  6. Step 6: Final answer
    x = 217,882.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.