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Finding the Third Proportional to 133,097 and 205,592

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Solution

The third proportional to 133,097 and 205,592 is: 317,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097 : 205,592 = 205,592 : x
  2. Step 2: Convert to fraction form
    133,097/205,592 = 205,592/x
  3. Step 3: Cross multiply
    133,097x = 205,592 × 205,592
  4. Step 4: Simplify right side
    133,097x = 42,268,070,464
  5. Step 5: Solve for x
    x = 42,268,070,464/133,097
  6. Step 6: Final answer
    x = 317,573.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.