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Finding the Third Proportional to 95,278 and 130,766

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Solution

The third proportional to 95,278 and 130,766 is: 179,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,278 : 130,766 = 130,766 : x
  2. Step 2: Convert to fraction form
    95,278/130,766 = 130,766/x
  3. Step 3: Cross multiply
    95,278x = 130,766 × 130,766
  4. Step 4: Simplify right side
    95,278x = 17,099,746,756
  5. Step 5: Solve for x
    x = 17,099,746,756/95,278
  6. Step 6: Final answer
    x = 179,472.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.