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Finding the Third Proportional to 75,987 and 114,021

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Solution

The third proportional to 75,987 and 114,021 is: 171,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,987 : 114,021 = 114,021 : x
  2. Step 2: Convert to fraction form
    75,987/114,021 = 114,021/x
  3. Step 3: Cross multiply
    75,987x = 114,021 × 114,021
  4. Step 4: Simplify right side
    75,987x = 13,000,788,441
  5. Step 5: Solve for x
    x = 13,000,788,441/75,987
  6. Step 6: Final answer
    x = 171,092.27

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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.