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Finding the Third Proportional to 131,097 and 199,062

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Solution

The third proportional to 131,097 and 199,062 is: 302,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,097 : 199,062 = 199,062 : x
  2. Step 2: Convert to fraction form
    131,097/199,062 = 199,062/x
  3. Step 3: Cross multiply
    131,097x = 199,062 × 199,062
  4. Step 4: Simplify right side
    131,097x = 39,625,679,844
  5. Step 5: Solve for x
    x = 39,625,679,844/131,097
  6. Step 6: Final answer
    x = 302,262.29

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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.