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Finding the Third Proportional to 101,229.75 and 151,024.50

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Solution

The third proportional to 101,229.75 and 151,024.50 is: 225,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,229.75 : 151,024.50 = 151,024.50 : x
  2. Step 2: Convert to fraction form
    101,229.75/151,024.50 = 151,024.50/x
  3. Step 3: Cross multiply
    101,229.75x = 151,024.50 × 151,024.50
  4. Step 4: Simplify right side
    101,229.75x = 22,808,399,600.25
  5. Step 5: Solve for x
    x = 22,808,399,600.25/101,229.75
  6. Step 6: Final answer
    x = 225,313.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.