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Finding the Third Proportional to 133,097 and 201,029

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Solution

The third proportional to 133,097 and 201,029 is: 303,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097 : 201,029 = 201,029 : x
  2. Step 2: Convert to fraction form
    133,097/201,029 = 201,029/x
  3. Step 3: Cross multiply
    133,097x = 201,029 × 201,029
  4. Step 4: Simplify right side
    133,097x = 40,412,658,841
  5. Step 5: Solve for x
    x = 40,412,658,841/133,097
  6. Step 6: Final answer
    x = 303,633.13

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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.