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Finding the Third Proportional to 76,531 and 114,874

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Solution

The third proportional to 76,531 and 114,874 is: 172,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,531 : 114,874 = 114,874 : x
  2. Step 2: Convert to fraction form
    76,531/114,874 = 114,874/x
  3. Step 3: Cross multiply
    76,531x = 114,874 × 114,874
  4. Step 4: Simplify right side
    76,531x = 13,196,035,876
  5. Step 5: Solve for x
    x = 13,196,035,876/76,531
  6. Step 6: Final answer
    x = 172,427.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.