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Finding the Third Proportional to 133,062.75 and 200,981.25

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Solution

The third proportional to 133,062.75 and 200,981.25 is: 303,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,062.75 : 200,981.25 = 200,981.25 : x
  2. Step 2: Convert to fraction form
    133,062.75/200,981.25 = 200,981.25/x
  3. Step 3: Cross multiply
    133,062.75x = 200,981.25 × 200,981.25
  4. Step 4: Simplify right side
    133,062.75x = 40,393,462,851.56
  5. Step 5: Solve for x
    x = 40,393,462,851.56/133,062.75
  6. Step 6: Final answer
    x = 303,567.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.