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Finding the Third Proportional to 133,089 and 202,174

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Solution

The third proportional to 133,089 and 202,174 is: 307,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 202,174 = 202,174 : x
  2. Step 2: Convert to fraction form
    133,089/202,174 = 202,174/x
  3. Step 3: Cross multiply
    133,089x = 202,174 × 202,174
  4. Step 4: Simplify right side
    133,089x = 40,874,326,276
  5. Step 5: Solve for x
    x = 40,874,326,276/133,089
  6. Step 6: Final answer
    x = 307,120.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.