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Finding the Third Proportional to 95,053 and 132,889

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Solution

The third proportional to 95,053 and 132,889 is: 185,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,053 : 132,889 = 132,889 : x
  2. Step 2: Convert to fraction form
    95,053/132,889 = 132,889/x
  3. Step 3: Cross multiply
    95,053x = 132,889 × 132,889
  4. Step 4: Simplify right side
    95,053x = 17,659,486,321
  5. Step 5: Solve for x
    x = 17,659,486,321/95,053
  6. Step 6: Final answer
    x = 185,785.68

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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.