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Finding the Third Proportional to 133,091 and 201,023

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Solution

The third proportional to 133,091 and 201,023 is: 303,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 201,023 = 201,023 : x
  2. Step 2: Convert to fraction form
    133,091/201,023 = 201,023/x
  3. Step 3: Cross multiply
    133,091x = 201,023 × 201,023
  4. Step 4: Simplify right side
    133,091x = 40,410,246,529
  5. Step 5: Solve for x
    x = 40,410,246,529/133,091
  6. Step 6: Final answer
    x = 303,628.69

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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.