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Finding the Third Proportional to 95,286 and 130,779

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Solution

The third proportional to 95,286 and 130,779 is: 179,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,286 : 130,779 = 130,779 : x
  2. Step 2: Convert to fraction form
    95,286/130,779 = 130,779/x
  3. Step 3: Cross multiply
    95,286x = 130,779 × 130,779
  4. Step 4: Simplify right side
    95,286x = 17,103,146,841
  5. Step 5: Solve for x
    x = 17,103,146,841/95,286
  6. Step 6: Final answer
    x = 179,492.76

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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.