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Finding the Third Proportional to 131,056 and 199,016

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Solution

The third proportional to 131,056 and 199,016 is: 302,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,056 : 199,016 = 199,016 : x
  2. Step 2: Convert to fraction form
    131,056/199,016 = 199,016/x
  3. Step 3: Cross multiply
    131,056x = 199,016 × 199,016
  4. Step 4: Simplify right side
    131,056x = 39,607,368,256
  5. Step 5: Solve for x
    x = 39,607,368,256/131,056
  6. Step 6: Final answer
    x = 302,217.13

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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.