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Finding the Third Proportional to 59,867 and 87,167

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Solution

The third proportional to 59,867 and 87,167 is: 126,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,867 : 87,167 = 87,167 : x
  2. Step 2: Convert to fraction form
    59,867/87,167 = 87,167/x
  3. Step 3: Cross multiply
    59,867x = 87,167 × 87,167
  4. Step 4: Simplify right side
    59,867x = 7,598,085,889
  5. Step 5: Solve for x
    x = 7,598,085,889/59,867
  6. Step 6: Final answer
    x = 126,916.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.