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Finding the Third Proportional to 95,056 and 132,891

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Solution

The third proportional to 95,056 and 132,891 is: 185,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,056 : 132,891 = 132,891 : x
  2. Step 2: Convert to fraction form
    95,056/132,891 = 132,891/x
  3. Step 3: Cross multiply
    95,056x = 132,891 × 132,891
  4. Step 4: Simplify right side
    95,056x = 17,660,017,881
  5. Step 5: Solve for x
    x = 17,660,017,881/95,056
  6. Step 6: Final answer
    x = 185,785.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.