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Finding the Third Proportional to 95,935 and 134,191

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Solution

The third proportional to 95,935 and 134,191 is: 187,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,935 : 134,191 = 134,191 : x
  2. Step 2: Convert to fraction form
    95,935/134,191 = 134,191/x
  3. Step 3: Cross multiply
    95,935x = 134,191 × 134,191
  4. Step 4: Simplify right side
    95,935x = 18,007,224,481
  5. Step 5: Solve for x
    x = 18,007,224,481/95,935
  6. Step 6: Final answer
    x = 187,702.35

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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.