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Finding the Third Proportional to 91,305 and 137,174

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Solution

The third proportional to 91,305 and 137,174 is: 206,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,305 : 137,174 = 137,174 : x
  2. Step 2: Convert to fraction form
    91,305/137,174 = 137,174/x
  3. Step 3: Cross multiply
    91,305x = 137,174 × 137,174
  4. Step 4: Simplify right side
    91,305x = 18,816,706,276
  5. Step 5: Solve for x
    x = 18,816,706,276/91,305
  6. Step 6: Final answer
    x = 206,086.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.