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Finding the Third Proportional to 133,105 and 201,043

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Solution

The third proportional to 133,105 and 201,043 is: 303,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105 : 201,043 = 201,043 : x
  2. Step 2: Convert to fraction form
    133,105/201,043 = 201,043/x
  3. Step 3: Cross multiply
    133,105x = 201,043 × 201,043
  4. Step 4: Simplify right side
    133,105x = 40,418,287,849
  5. Step 5: Solve for x
    x = 40,418,287,849/133,105
  6. Step 6: Final answer
    x = 303,657.17

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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.