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Finding the Third Proportional to 134,520.75 and 202,100.06

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Solution

The third proportional to 134,520.75 and 202,100.06 is: 303,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,520.75 : 202,100.06 = 202,100.06 : x
  2. Step 2: Convert to fraction form
    134,520.75/202,100.06 = 202,100.06/x
  3. Step 3: Cross multiply
    134,520.75x = 202,100.06 × 202,100.06
  4. Step 4: Simplify right side
    134,520.75x = 40,844,435,262.50
  5. Step 5: Solve for x
    x = 40,844,435,262.50/134,520.75
  6. Step 6: Final answer
    x = 303,629.26

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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.